Loading [MathJax]/jax/output/HTML-CSS/jax.js
Home / Aptitude Tests / Mathematics / Find the volume of a...

Find the volume of a cone which has a base radius of 5 cm...

Find the volume of a cone which has a base radius of 5 cm and slant height of 13 cm.

A.

300π cm3

B.

325π cm3

C.

3253π cm3

D.

100π cm3

Correct answer is D

Volume of a cone = 13πr2h

r = 5 cm

l = 13 cm

Using Pythagoras theorem

132=52+h2

169=25+h2

16925=h2

h2=144

h=144=12cm

∴ Volume of the cone = 13×π×52x12=100π cm3