Question

The height of a cone is 24cm and its slant height is 25cm. Then, its diameter is -
cm.​

Answer 1

Answer:

Then its diameter is 7 cm.

Answer 2

Here, h=24cmandr=7cm

Let the slant height be l cm. Then,

l=h2+r2−−−−−−√=(24)2+(7)2−−−−−−−−−−√=625−−−√=25

∴ slant height =lcm=25cm

Volume of the cone =13πr2h

=(13×227×7×7×24)cm3

=1232cm3

Curved surface area of the cone =πrl

=(227×7×25)cm2=550cm2

Total surface area of the cone =πr(l+r)

=[227×7×(25+7)]cm2

=704cm2