Question

the base area of a cone is 38.5sq.cm.its volume is 77cubic.cm.find its height.

Answer 1

hiii!!!

here's ur answer...

we know that the base of cone is circle.

therefore πr² = base area of circle

==> πr² = 38.5cm²

given that the volume of the cone is = 77cm³

==> 1/3πr²h = 77cm³

==> 1/3 × 38.5 × h = 77cm³

==> 38.5 × h = 77/1×3/1

==> 38.5 × h = 231

==> h = 231/38.5

==> h = 6cm

VERIFICATION:-

volume of the cone = 1/3πr²h

= 1/3 × 38.5 × 6

= 231/3

= 77cm³

hence verified

thus the height of the cone is 6cm.

hope this helps u..!!

Answer 2

Hlo frnd✋

Ur solution is here given in the attachment.

Hope it helps u ☺

Thnx