Question

volume of a 14cm long cylinder is equal to the volume of a cube of edge 11cm . Find the radius of this cylinder

Answer 1

Answer:

Volume of cylinder = volume of cube

π r^2 h = a^3

r^2 = ( 11×11 ×11 )× 7 /(22×14)

r^2 = 11 × 11 /4

r = 11/2 cm

Step-by-step explanation:

Answer 2

The radius of this cylinder is 5.5 cm

Step-by-step explanation:

Height of cylinder = 14 cm

Volume of cylinder =$\pi r^2 h = \frac{22}{7} \times r^2 \times 14$

Edge of cube = 11 cm

Volume of cube =$side ^3 = 11^3 = 1331 cm^3$

We are given that volume of cylinder is equal to volume of cube

So, $\frac{22}{7} \times r^2 \times 14 = 1331$

$r=\sqrt{\frac{1331 \times 7}{22 \times 14}}$

r=5.5 cm

Hence the radius of this cylinder is 5.5 cm

#Learn more:

The height of a cylinder is 14cm the volume of the cylinder is equal to that of a cube whose edge is 11cm . Find the radius of the base and the curved surface of a cylinder

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