Question

A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume? (6 points) 1:(3.14)(5m)^2(10m) 2:(3.14)(5m)^2(20m) 3:(3.14)(10m)^2(5m) 4:(3.14)(20m)^2(5m)

Answer 1

Cylinder formula
3.14 x radius square x the height

5(3.14) x 2

=10(3.14)

Answer 2

ANSWER
$V = 3.14 \times {10}^{2} \times 5$
EXPLANATION


The volume of a cylinder can be found using the formula,

$V = \pi \: {r}^{2} h$

It was given that,

$\pi = 3.14$

and the height of the cylinder is

$h = 5m$


It was given also that, the diameter of the cylinder is 4 times the height of the cylinder.

This implies that,

$d = 4 \times 5 = 20m$

We also know that, the radius of the cylinder is half its diameter. This means that,

$r = \frac{20}{2} = 10m$

We substitute all the values into the formula to get,


$V = 3.14 \times {10}^{2} \times 5$

The correct answer is C.