Question

what is the volume of a cylinder with a radius of 2 and a height of 3?
a. 56.52
b. 18.84
c. 37.68
d. 12.56
the formula for the area of a circle is
a. dπ
b. 2πr
c. 2πr²
d. πr²
the volume of a cylinder depends on which two measurements?

Explanation:

Step1: Recall volume formula for cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Substitute given values

Given $r = 2$ and $h=3$, substitute into the formula: $V=\pi\times2^{2}\times3=\pi\times4\times3 = 12\pi$. Using $\pi\approx3.14$, we have $V\approx12\times3.14 = 37.68$.

Step3: Recall area formula for circle

The formula for the area of a circle is $A = \pi r^{2}$.

Step4: Recall volume - related measurements for cylinder

The volume of a cylinder depends on the radius of the base circle and the height of the cylinder.

Answer:

1. c. 37.68
2. d. $\pi r^{2}$
3. The radius of the base and the height.