Question

PLEASE HELP AND PLEASEEEE SOLVE WITH EXPLANATION PLEASE OR I WILL REPORT LIKE FOR THE 18TH TIME PLEASE

Answer 1

Answer: 1607.7 in³

Explanation:

In order to find the volume of a cylinder, you must find the area of its circle on the top or bottom and multiply that by the height.

The area of a circle is
`\pi r^(2)`, meaning you must multiply pi by the radius squared. In this problem, you are given the radius, which is 8 inches. When you square 8, you get 64. 64 is your radius squared.

Now, you multiply your radius squared with pi. This question tells you to use 3.14 as pi. So, you multiply 3.14 by the 64 you got earlier.

64 inches²· 3.14 = 200.96 inches²

200.96 is the area of the circle on the top and on the bottom of the cylinder (both of these circles have the same area).

Now, all that's left to do is to multiply 200.96 by your height, which is 8.

200.96 inches² · 8 inches = 1607.7 inches³

Therefore, your volume is 1607.7 inches³.

Answer 2

The volume of the given cylinder is 1607.7 in³ to the nearest tenth.

Explanation:

The formula for the volume of a cylinder is:

`\boxed{\textsf{Volume of a cylinder} = \pi r^2 h}`

where r is the radius of the circular base, and h is the height of the cylinder.

From inspection of the given diagram:

• r = 8 in
• h = 8 in
• π = 3.14

Substitute these values into the formula and solve:

`\begin{aligned}\implies \sf Volume&=\pi r^2 h\\&=3.14 \cdot 8^2 \cdot 8\\&=3.14 \cdot 64\cdot 8\\&=200.96\cdot 8\\&=1607.68\\&=1607.7\; \sf in^3\;\;(nearest \; tenth)\end{aligned}`

Therefore, the volume of the given cylinder is 1607.7 in³ to the nearest tenth.