Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the volume of an oblique cylinder with a base diameter of 8 cm and…

Question

find the volume of an oblique cylinder with a base diameter of 8 cm and a height of 9 cm. use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

Explanation:

Step1: Calculate the radius

The diameter $d = 8$ cm, so the radius $r=\frac{d}{2}=\frac{8}{2}=4$ cm.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$. Substitute $r = 4$ cm, $h = 9$ cm and $\pi=3.14$ into the formula. So $V=3.14\times4^{2}\times9$.

Step3: Calculate the result

First, $4^{2}=16$. Then $3.14\times16\times9=3.14\times144 = 452.16$ $cm^{3}$.

Step4: Round the answer

Rounding $452.16$ to the nearest whole number gives $452$ $cm^{3}$.

Answer:

$452$ $cm^{3}$