Question

Answer with explanation.please.

Answer 1

The radius of the base is 10 cm.

Solution:

Height of a cone = 15 cm

Volume of the cone = 1570 cm³

To find the radius of the base of the cone:

Volume of the cone = $\frac{1}{3}\pi r^2 h$

$\Rightarrow \frac{1}{3}\pi r^2 h=1570$

$\Rightarrow \frac{1}{3}\times\ 3.14\times r^2 \times 15=1570$

$\Rightarrow\ 3.14\times r^2 \times 5=1570$

$\Rightarrow\ 15.7\times r^2 =1570$

Divide by 15.7 on both side of the equation, we get

$\Rightarrow r^2 =100$

Taking square root on both sides of the equation, we get

⇒ r = 10

Hence the radius of the base is 10 cm.