A concrete pillar is a cylinder with a radius of 20 cm and a height of 2 m (a) - Maths - Mensuration

Question

A concrete pillar is a cylinder with a radius of 20 cm and a height
of 2 m
(a) Find the volume of the pillar
The pillar is made of concrete, but contains 10 steel rods of
length 1 8 m and
diameter 1 2 cm
(b) Find the volume of one of the rods and the volume of steel in
the pillar
(c) Find the volume of concrete contained in the pillar

Shruti Tyagi · Accepted Answer

Dear student,

Radius of cylinder R =20 cmHeight of cylinder H=2 m=200cma) Volume of Pillar=πR2H=227×20×20×200=22×800007=17600007=251428
57 cm3Radius of steel rod r=Diameter2=1
22=0 6 cmHeight of steel l=1
8 m=180 cmb) Volume of one rod=πr2l=227×0
6×0 6×180=22×64 87=1425 67=203
65 cm3c) Volume of concrete contained in the pillar=Volume of 10 rods=10×203
65 cm3=2036 5 cm3

Regards