Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

V= type your answer.y. 
quadcm^(3)
Account
2
1 point
Dashbuand
Workbook Question #2
An oblique cylinder with a base of radius 2 units is shown. The top of the cylinder can be obtained by translating the base by the directed line segment 
AB which has length 
6sqrt2 units. The segment 
AB forms a 
45^(@) angle with the plane of the base. What is the volume of the cylinder? Round to the nearest 10th
Calendar
2
国
3
(1)
4
5
Masten:
6
7
8

V=106.9

cm^(3)
Resources
3
1 point

V= V= type your answer.y. cm3 \quad \mathrm{cm}^{3} \newlineAccount\newline22\newline11 point\newlineDashbuand\newlineWorkbook Question \#22\newlineAn oblique cylinder with a base of radius 22 units is shown. The top of the cylinder can be obtained by translating the base by the directed line segment AB A B which has length 62 6 \sqrt{2} units. The segment AB A B forms a 45 45^{\circ} angle with the plane of the base. What is the volume of the cylinder? Round to the nearest 1010th\newlineCalendar\newline22\newline\newline33\newline(11)\newline44\newline55\newlineMasten:\newline66\newline77\newline88\newlineV=106.9 V=106.9 \newlinecm3 \mathrm{cm}^{3} \newlineResources\newline33\newline11 point

Full solution

Q. V= V= type your answer.y. cm3 \quad \mathrm{cm}^{3} \newlineAccount\newline22\newline11 point\newlineDashbuand\newlineWorkbook Question \#22\newlineAn oblique cylinder with a base of radius 22 units is shown. The top of the cylinder can be obtained by translating the base by the directed line segment AB A B which has length 62 6 \sqrt{2} units. The segment AB A B forms a 45 45^{\circ} angle with the plane of the base. What is the volume of the cylinder? Round to the nearest 1010th\newlineCalendar\newline22\newline\newline33\newline(11)\newline44\newline55\newlineMasten:\newline66\newline77\newline88\newlineV=106.9 V=106.9 \newlinecm3 \mathrm{cm}^{3} \newlineResources\newline33\newline11 point
  1. Given Data: To find the volume of a cylinder, we use the formula V=πr2hV = \pi r^2 h, where VV is the volume, rr is the radius of the base, and hh is the height of the cylinder. In this case, the radius rr is given as 22 units, and the height hh is given as 626\sqrt{2} units.
  2. Calculate Radius Squared: First, we square the radius: r2=(2)2=4r^2 = (2)^2 = 4.
  3. Calculate Height: Next, we calculate the height in terms of units: h=62h = 6\sqrt{2}. This value is already in the correct form, so no further calculation is needed for the height.
  4. Substitute Values: Now, we can substitute the values of r2r^2 and hh into the volume formula: V=π×4×62V = \pi \times 4 \times 6\sqrt{2}.
  5. Perform Multiplication: Perform the multiplication to find the volume: V=π×4×62=24π2V = \pi \times 4 \times 6\sqrt{2} = 24\pi\sqrt{2}.
  6. Round to Nearest Tenth: To round to the nearest tenth, we need to use a calculator to approximate the value of 24π224\pi\sqrt{2}.
  7. Approximate Value: Using a calculator, we find that 24π2106.924\pi\sqrt{2} \approx 106.9 when rounded to the nearest tenth.

More problems from Scale drawings: word problems