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A sphere has a radius of 7.5 centimeters
(cm).
Question:
To the nearest cubic centimeter, what is the volume of the sphere?

A sphere has a radius of $7$ . $5$ centimeters $(\mathrm{cm})$ . $\newline$ Question: $\newline$ To the nearest cubic centimeter, what is the volume of the sphere?

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. A sphere has a radius of

7

.

5

centimeters

(\mathrm{cm})

.

\newline

Question:

\newline

To the nearest cubic centimeter, what is the volume of the sphere?

Question Prompt: Question_prompt: What is the volume of the sphere to the nearest cubic centimeter?
Use Formula: Use the formula for the volume of a sphere, which is $V = \frac{4}{3}\pi r^3$ .
Plug in Radius: Plug in the radius, $r = 7.5\,\text{cm}$ , into the formula. $\newline$ $V = \left(\frac{4}{3}\right)\pi(7.5\,\text{cm})^3$
Calculate Volume: Calculate the volume. $\newline$ $V = \frac{4}{3}\pi(7.5 \, \text{cm} \times 7.5 \, \text{cm} \times 7.5 \, \text{cm})$ $\newline$ $V = \frac{4}{3}\pi(421.875 \, \text{cm}^3)$
Simplify Expression: Simplify the expression. $\newline$ $V \approx \frac{4}{3} \times 3.14159 \times 421.875$ $\newline$ $V \approx 1767.145 \, \text{cm}^3$
Round to Nearest: Round to the nearest cubic centimeter. $\newline$ $V \approx 1767$ cm $^3$

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