Question

volume formulas for right cylinders
consider that the formula for determining the volume of a right cylinder is v = bh, where b is the area of the cylinders base and h is the height of the cylinder.
when finding the volume of a right cylinder, which formula is equivalent to v = bh?
a v = πd²
b v = 2πrh
c v = π²r
d v = πr²h

Explanation:

Step1: Recall base area of cylinder

The base of a right cylinder is a circle. The area of a circle (B) is \( B = \pi r^2 \), where \( r \) is the radius of the base.

Step2: Substitute B into volume formula

Given the volume formula \( V = Bh \), substitute \( B=\pi r^2 \) into it. So \( V = (\pi r^2)h=\pi r^2h \).

Answer:

D. \( V = \pi r^2h \)