Question

if the height and radius of the cone is doubled then find the ratio of volume of new cone and original cone

Answer 1

The answer is given below

Answer 2

❥ANSWER :

The ratio of volume of new cone and original cone is 8:1.

❥ EXPLANATION :

• Given :-

• The height and radius of the cone is doubled.

•To find :-

• The ratio of volume of new cone and original cone.

• Solution :-

Let the radius of the cone be r and the height of the cone be h.

We know,

Volume of cone= 1/3 πr²h

So,

Volume of original cone= 1/3 πr²h

ᴥ The height and radius of the cone is doubled.

Height of the new cone=2h

Radius of the new cone =2r

Volume of new cone = 1/3 1(2r)²2h

ᴥ Now find the ratio of volume of the new cone and the original cone.

New cone : Original cone

→1/3 1(2r)²2h : 1/3 πr²h

→ 8:1

The ratio of volume of the New cone and the original cone is 8:1.

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MORE INFORMATION :

• Curved surface area of cone=πrl

[ r = Radius , l = Slant height]

•Total surface area of cone=πr(r+l)

[ r = Radius, l = Slant height ]

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