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 = [tex]\frac{1}{3}\pi r^2 h[/tex]
[tex]$\Rightarrow \frac{1}{3}\pi r^2 h=1570[/tex]
[tex]$\Rightarrow \frac{1}{3}\times\ 3.14\times r^2 \times 15=1570[/tex]
[tex]$\Rightarrow\ 3.14\times r^2 \times 5=1570[/tex]
[tex]$\Rightarrow\ 15.7\times r^2 =1570[/tex]
Divide by 15.7 on both side of the equation, we get
[tex]$\Rightarrow r^2 =100[/tex]
Taking square root on both sides of the equation, we get
⇒ r = 10
Hence the radius of the base is 10 cm.
