Question

a cylinder is made of metal having thickness 2cm. the outer diameter of the cylinder is 14cm and height of the cylinder is 14cm. find the capacity of cylinder and also volume of the metal used

Answer 1

outer diameter(D)=14 cm
outer radius(R)=7cm
inner radius(r)=7-2=5cm. (outer-radius)
outer height(H)=14 cm (given)

inner height (h)=12 cm

capacity=πr×r×h=22/7×5×5×12=942.85

volume of metal=πR×R×H - πr×r×h =22/7×7×7×14-942.85=2156-942.85=1213.15= Ans.

Answer 2

Dear Student,

◆ Answer -

Capacity of cylinder = 1100 cm^3

● Explanation -

Outer radius of thick cylinder is -

R = 14/2

R = 7 cm

Thus inner diameter will be -

r = R - t

r = 7 - 2

r = 5 cm

Capacity of the cylinder is -

Capacity of cylinder = πr^2.h

Capacity of cylinder = 22/7 × 5^2 × 14

Capacity of cylinder = 1100 cm^3

Hence, capacity of cylinder is 1100 cm^3.

Thanks dear. Hope this helps you...