A cone of height 24cm and radius of the base 6cm is made up of mouldin

1.	A cone of height 24cm and radius of the base 6cm is made up of moulding clay. A child reshaped it in the form of sphere, find the volume of sphere.(π=3.14)
Answer» EXPLANATION. Height of a cone = 24cm. Radius of the base of the cone = 6cm. A child reshape and form SPHERE. As we know that, ⇒ Volume of cone = 1/3πr²h. ⇒ Volume of sphere = 4/3πr³. ⇒ Volume of cone = Volume of sphere. ⇒ 1/3πr²h = 4/3πr³. Put the values in the EQUATION, we get. ⇒ πr²h = 4πr³. ⇒ r²h = 4r³. ⇒ 6 X 6 x 24 = 4 x r³. ⇒ 6 x 6 x 6 = r³ ⇒ (6)³ = r³. ⇒ r = 6cm. ⇒ Volume of sphere = 4/3πr³. ⇒ 4/3 x 3.14 x 6 x 6 x 6. ⇒ 2712.96/3 = 904.32cm³. Volume of sphere = 904.32cm³.

A cone of height 24cm and radius of the base 6cm is made up of moulding clay. A child reshaped it in the form of sphere, find the volume of sphere.(π=3.14)

Answer»

EXPLANATION.

Height of a cone = 24cm.

Radius of the base of the cone = 6cm.

A child reshape and form SPHERE.

As we know that,

⇒ Volume of cone = 1/3πr²h.

⇒ Volume of sphere = 4/3πr³.

⇒ Volume of cone = Volume of sphere.

⇒ 1/3πr²h = 4/3πr³.

Put the values in the EQUATION, we get.

⇒ πr²h = 4πr³.

⇒ r²h = 4r³.

⇒ 6 X 6 x 24 = 4 x r³.

⇒ 6 x 6 x 6 = r³

⇒ (6)³ = r³.

⇒ r = 6cm.

⇒ Volume of sphere = 4/3πr³.

⇒ 4/3 x 3.14 x 6 x 6 x 6.

⇒ 2712.96/3 = 904.32cm³.

Volume of sphere = 904.32cm³.

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A cone of height 24cm and radius of the base 6cm is made up of moulding clay. A child reshaped it in the form of sphere, find the volume of sphere.(π=3.14)​

EXPLANATION.

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A cone of height 24cm and radius of the base 6cm is made up of moulding clay. A child reshaped it in the form of sphere, find the volume of sphere.(π=3.14)