2 Answers

Atlasologist · Answer 1 · 2022-09-08T16:35:10+0000

Question:-

If the radius of the base of the cone, r, is
(8)/(3) units and the height, h, is 13 units, what is the volume of the cone ?

$\bullet$ Radius of the base of the cone (r) is
(8)/(3) units.

$\bullet$ Height (h) of the cone is 13 units.

Volume of the cone.

We know,

Formula of volume of cone is
(1)/(3) πr²h

So, volume of the cone =
(1)/(3) ×
(22)/(7) ×
((8)/(3))² × 13

=
(1)/(3) ×
(22)/(7) ×
(8)/(3) ×
(8)/(3) × 13

=
$(22 \: × \: 8 \: × \: 8 \: × \: 13)/(3 \: × \: 7 \: × \: 3 \: × \: 3)$

=
(18304)/(189)

= 96.85 cubic units.