SOLUTION:
We've been given a problem in which we have to find out the volume (v) of a cylinder. We've been provided with the following information ie,
The standard formula for calculating volume of a cylinder is given by,
![:\implies\tt{v = \pi {r}^(2) h}](https://img.qammunity.org/2023/formulas/mathematics/college/tozkzkve924rg27us0zlmbo14034vre5zh.png)
Substituting given values in formula we get,
![:\implies\tt{v = \pi * {4}^(2) * 10}](https://img.qammunity.org/2023/formulas/mathematics/high-school/k9418lnblta8grwmfg7r3ii4ffqp6utn98.png)
![:\implies\tt{v = \pi * 16 * 10}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ydp1tpc4v336084hhck0img1u34ixw2ccf.png)
![:\implies\tt{v = \pi * 160}](https://img.qammunity.org/2023/formulas/mathematics/high-school/wppvz5pnecep3ddmvo18wwq0gcit1hql75.png)
![:\implies\tt{v = 160 \pi {cm}^(3) }](https://img.qammunity.org/2023/formulas/mathematics/high-school/2f5w1xv5r4ilolb0xgaipkdzw4w0rxabjj.png)
- The correct answer is OPTION C] which is 160πcm³