Question

circular cylinder 14 cm long is 88 CM square if the volume of the metal used in making the cylinder is 176 cm cube find the outer and inner diameter of the cylinder​

Answer 1

Cylinder

h=14= 88cm

1 m long is 44/7

o s a -176÷44/7

-176×7/44

-28

Answer 2

Height of the hollow cylinder = h = 14 cm

Outer curved surface area - inner curved surface area = 88

2∏h(R - r) = 88 where R is the outer radius and r is inner radius

Taking ∏ = 22/7 and simplifying we get

R - r = 1 .....(i)

Volume of outer part - Volume of inner part = 176

∏h(R2 - r2) = 176

∏h(R + r) (R - r) = 176

∏h(R + r) = 176 from (i)

begin mathsize 16px style 22 over 7 cross times 14 open parentheses straight R plus straight r close parentheses equals 176 end style

R + r = 4 ....(ii)

Solving (i) and (ii) we get R = 5/2 cm and r = 3/2 cm

Therefore inner radius = 3/4 = 0.75 and outer radius = 5/4 = 1.25.