Q. 294.0( 3 Votes )

# A wooden toy was

Answer :

Given height of cylinder = h = 10 cm

Radius of cylinder = r = 3.5 cm

Radius of hemisphere = R = 3.5 cm

__Explanation: In this question the volume of wood in toy can be calculated by subtracting the volume of two hemisphere from the volume of cylinder.__

So, volume of cylinder = πr^{2}h

Where r = radius of cylinder and h = height of cylinder

⇒ Volume of cylinder = π × (3.5)^{2} × 10 (from given values)

⇒ Volume of cylinder = π × 12.25 × 10

∴ Volume of cylinder = 122.5π cm^{3}→eqn1

Volume of a hemisphere(where R is radius of hemisphere)

∴ Volume of two hemisphere

Volume of wood in toy = eqn1 – eqn2

⇒Volume of wood in toy

(taking π common)

∴ Volume of wood in toy = 205.333 cm^{3}

__Volume of wood in toy is 205.333 cm ^{3}.__

Rate this question :