Question

A Can has a volume of 62.8 inches if the height of the can is 5 inches what is the radius of the canned to the nearest 10th

Answer 1

The radius of can is 2 inches

Solution:

Given that, Can has a volume of 62.8 cubic inches

Height of can is 5 inches

To find: Radius of can

The can is of shape cylinder

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

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

Where, "r" is the radius and "h" is the height of cylinder

Substituting the values we get,

$62.8 = 3.14 \times r^2 \times 5\\\\62.8 = r^2 \times 15.7\\\\r^2 = \frac{62.8}{15.7}\\\\r^2 = 4\\\\\text{Take square root on both sides }\\\\r = 2$

Thus the radius of can is 2 inches