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)
Answers
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.
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.