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Question

The volume of a right circular cone is 9856cm3. If the diameter of the base if 28cm, find slant height of the cone.
  1. 20 cm
  2. 30 cm
  3. 25 cm
  4. 50 cm

A
30 cm
B
25 cm
C
50 cm
D
20 cm
Solution
Verified by Toppr

We know, Volume of a cone =13πr2h.

Given, diameter of the base d=28cm.

Then, Radius of the base =d2=282=14cm.

Hence, volume of this cone =13×227×142×h=9856cm3

Therefore, h=48cm.

Hence, height of the cone is 48cm.

For a cone, slant height l=h2+r2

Hence, l=482+142=2500

l=50cm.

Therefore, option A is correct.

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