Question

The perimeter of the ends of a frustum of a cone are 44 cm and 8.4 Π cm. If the depth is 14 cm, then find its volume.​

Answer 1

Answer:

We have,

Perimeter of the ends of the frustum cone

2πR=44 cm⇒R=7 cm

2πr=8.4π cm⇒r=4.2 cm

depth(h)=14 cm

We know that the volume of the frustum cone

=

3

1

π(R

2

+r

2

+Rr)h

So,

=

3

1

×

7

22

(7

2

+(4.2)

2

+7×4.2)×14

=

3

1

×22×(49+17.64+29.4)×2

=

3

44

×(96.04)

=1408.6 cm

3

Hence, the this is the answer.

Answer 2

Answer:

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