Question

Volume of a cone is 6280 cubic cm and base radius of the cone is 30 cm. Find its perpendicular height. (π = 3.14)

Answer 1

We are given:

Volume (V) = 6280 cm³

Radius (r) = 30 cm

π = 3.14

We need to find the perpendicular height (h) of the cone.

Step 1: Use the formula for the volume of a cone

V = `1/3 pir^2h`

Substitute the values:

6280 = `1/3 xx 3.14 xx (30)^2 xx h`

6280 = `1/3 xx 3.14 xx 900 xx h`

6280 = `1/3 xx 2826 xx h`

6280 = 942 × h

h = `6280/942`

= 6.67