Question

The height of a cine is 15cm.if it's volume is 1570cm2 .don't the radius of the base

Answer 1

Answer:

The radius is 9.995 cm.

Step-by-step explanation:

The volume of a cone is given by the formula:

$Volume=\pi r^{2}\frac{h}{3}$

Given:

Volume = 1570 cm³

height = h = 15 cm

Compute the radius of the base as follows:

$Volume=\pi r^{2}\frac{h}{3}\\1570=\frac{22}{7}\times r^{2}\times \frac{15}{3}\\r^{2}=\frac{1570\times 7}{22\times 5}\\r=\sqrt{99.9091}\\r=9.995$

Thus, the radius is 9.995 cm.