Question

SOMEONE HELP ASAP !!NEED THIS IN FIVE MINS !! I’ll give brainliest!! Please and ty !!!

Answer 1

Answer:

Expression: $\pi(\frac{D}{2})^{2}h-\pi(\frac{d}{2})^{2}h$

Volume: $339.29cm^{3}$

Step-by-step explanation:

The formula for the volume of a cylinder is: $\pi r^{2}h$. Since we are given the diameters instead of the radius, we divide the diameters by 2 to get the radius.

∴ The expression for the volume of the large cylinder after the hole was removed is $\pi (\frac{D}{2})^{2}h - \pi(\frac{d}{2})^{2}h$

Approximate volume:

Substitute the numbers in:

$\pi(\frac{8}{2})^{2}\times9-\pi(\frac{4}{2})^{2}\times9=339.29cm^{3}$ (to the second decimal place)

∴ The volume of the big cylinder after removing the cylindrical hole is approximately $339.29cm^{3}$