Students need to substitute the value of the radius in the formula V = 4/3 πr^3 to find the volume of the sphere. For example, Ammi bought a snow globe during a recent vacation to New York City. The globe is a hemisphere with a diameter of 3 inches.&nbsp;&nbsp;If the radius of a sphere is 3 in, then the formula V = 4/3 πr^3 becomes V= 4/3π(3)^3. After simplifications, the final value can be V=36π cubic inches. The volume of the hemisphere is half of the volume of sphere, therefore the volume of Ammi’s snow globe is 18π cubic inches.

Volume of a sphere or hemisphere (word problems)

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In 8th Grade, students learn how to find the volume of 3D figures such as spheres, and hemispheres. A sphere is a ball-shaped figure and a hemisphere is a bowl-shaped figure. The volume of a sphere is V = 4/3 πr^3, where r is the radius of the sphere and the volume of the hemisphere is half of the volume of a sphere.&nbsp;&nbsp;Math teachers can provide “Volume of a sphere or hemisphere (word problems) worksheet” to their students. This worksheet includes a variety of word problems that require students to calculate the volume of sphere-shaped or hemisphere-shaped objects where the radius is given.

Firstly, students should be able to define what volume is. Volume is the amount of space inside a three-dimensional object. They should also understand that the unit for volume is cubic units, such as cubic centimeters or cubic meters.&nbsp;Next, students should be able to calculate the volume of various geometric figures, including rectangular prisms, cylinders, cones, and spheres. They should be able to use formulas to calculate the volume of these figures and understand how to apply these formulas in problem-solving contexts.&nbsp;Students should also be able to understand the relationship between volume and capacity. Capacity is the amount of space that an object can hold, and it is measured in units such as liters or gallons. Students should understand that the volume of an object and its capacity are equal.&nbsp;Finally, students should be able to solve problems involving volume. They should be able to apply their knowledge of volume and capacity to real-world situations, such as calculating the amount of paint needed to cover a room or the amount of water a container can hold.&nbsp;In summary, understanding volume is a crucial aspect of geometry and measurement for grade 8 students. By learning to calculate the volume of various geometric figures, understand the relationship between volume and capacity, and solve problems involving volume, students can build a strong foundation in math skills that will serve them well in their future studies.

<h2 style="text-align:justify;">8th Grade Course Summary&nbsp;</h2>&nbsp;In 8th grade math, students are introduced to high-value concepts and expand their knowledge of operations and execution of these concepts. Here is a brief overview of the 8th Grade Math Course:&nbsp;&nbsp;<h2><a href="https://www.bytelearn.com/math-grade-8/Exponents">Exponents</a></h2><h2><a href="https://www.bytelearn.com/math-grade-8/linear-relationships-and-functions">Linear Relationships And Functions</a></h2><h2><a href="https://www.bytelearn.com/math-grade-8/Scientific-Notation">Scientific Notation</a></h2>&nbsp;

grade 8

The 8th-grade math curriculum has been designed to help students advance mathematically, particularly in the areas of algebraic equations. They focus on three core areas; reasoning and formulating, describing and deriving relationships, and analyzing two and three-dimensional figures.&nbsp; &nbsp;Students are also taught to expand their understanding of proportional relationships. They also learn the importance of solutions and application to single linear equations. They work on various models with bivariate data and learn to make the necessary predictions. Functions open a new arena for them to learn high-value functions in high school. They continue by studying with measurement and movement of figures, lines, and angles with two and three-dimensional figures.&nbsp;

Volume

Volume is an essential concept in geometry and measurement that grade 8 students need to understand. According to the Common Core Standards for Math, students should be able to calculate the volume of various geometric figures, understand the relationship between volume and capacity, and solve problems involving volume.&nbsp;

They will also learn how to apply the concept of volume to solve practical problems, such as finding the amount of space inside a container. The lesson includes interactive activities and opportunities for student collaboration, and assessments to ensure mastery of the concept. By the end of this lesson, students will have a solid foundation in volume mathematics that they can apply to a wide range of practical situations.&nbsp;

8th Grade Math Volume Lesson Plan

This 8th grade math volume lesson plan aligns with the Common Core State Standards for Mathematics. Students will learn to calculate the volume of 3-dimensional shapes, including prisms, cylinders, and pyramids. The lesson begins with an introduction to basic geometric vocabulary, such as volume and capacity. Students will then explore how to calculate the volume of different shapes using formulas and real-world examples.&nbsp;&nbsp; &nbsp;

Grade 8 students should be able to calculate the volume of three-dimensional objects such as cubes, rectangular prisms, and cylinders using appropriate formulas. They should also be able to apply their knowledge of volume to real-world problems.&nbsp;Through the study of volume, students will develop their critical thinking skills and their ability to apply mathematical concepts to real-world problems. With a solid foundation in volume, students will be well-prepared for the challenges of high school and beyond.

In Grade 8, students are expected to develop an understanding of volume and how to solve volume problems. The Common Core Standards for Mathematics emphasize the importance of volume as a fundamental skill for success in higher mathematics courses. &nbsp; &nbsp;

Dr. Wu has a model of the human eye in his office. The model is shaped like a hemisphere so the inside parts of the eyeball can also be seen. The model has the dimensions shown below. What is the volume of Dr. Wu's model? Use `3.14` for `π`. <highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth, if necessary.</highlight><Sphere3D data-props='{ "half": true,"rotate_x": 180, "radiusLabel": "5 in", "interactive": false, "dashedCircumference": true, "zoom": 10,"labelSize":10}'></Sphere3D>

math

Felicity makes homemade candy to sell at the farmer's market. She uses a candy mold in the shape of a hemisphere with the dimensions shown below. What is the volume of each hemisphere? Use `3.14` for `π`. <highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth, if necessary.</highlight><Sphere3D data-props='{ "half": true,"rotate_x": 180, "radiusLabel": "2 cm", "interactive": false, "dashedCircumference": true, "zoom": 10,"labelSize":10}'></Sphere3D>

Maddie has a toy basketball with a diameter of `8` inches. What is the volume of Maddie's basketball? Use `3.14` for `π`. <highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth, if necessary.</highlight>

Spicy Ramen serves their ramen in hemisphere-shaped bowls. Each bowl has a diameter of `15` cm. What is the volume of a each bowl? Use `3.14` for `π`. <highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth, if necessary.</highlight>

Ali fills a hemisphere-shaped bowl with sand to build a sand castle. The bowl has a diameter of `8` inches. His has used `20` bowls to build his castle. What is the volume of Ali's castle? Use `3.14` for `π`. <highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth, if necessary.</highlight>

A hemisphere-shaped ladle spoon has a diameter of `9` cm. Mike is using the ladle to pour soup into bowls. What is the volume of `5` ladles of soup? Use `3.14` for `π`. <highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth, if necessary.</highlight>

Each English pool ball has a diameter of `2` inches. There are `16` pool balls in a set, including the cueball. What is the volume of all `16` balls? Use `3.14` for `π`. <highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth, if necessary.</highlight>

Volume Of A Sphere Or Hemisphere (Word Problems) Worksheet

7 problems

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