Question 52

The volume of a right circular cone is 3080 $$cm^{3}$$. If the radius of its base is 7 cm, then what is the height of the cone? (in cm) [Use $$\pi = \frac{22}{7}$$]

Solution

The volume of a right circular cone is 3080 $$cm^{3}$$. If the radius of its base is 7 cm.

the volume of a right circular cone = $$\frac{1}{3}\times\ \pi\ \times\ \left(radius\right)^2\times\ height$$

$$3080=\frac{1}{3}\times\frac{22}{7}\times\ \left(7\right)^2\times\ height$$

$$3080=\frac{1}{3}\times22\times7\times\ height$$

$$20=\frac{1}{3}\times height$$

height of the cone = $$20\times3$$ = 60 cm


Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

cracku

Boost your Prep!

Download App