The volume of a cylinder whose(b) The curved surface area of a cylindr

1.	The volume of a cylinder whose(b) The curved surface area of a cylindrical pillar is 440 cm² and its volume is1520 cm³ Find the height of the pillar.
Answer» Question : The curved surface area of a cylindrical pillar is 440 cm² and its volume is 1520 cm³ Find the height of the pillar. Solution : We know That - CSA of cylinder = 2πrh Volume of cylinder = πr²h ATQ , πr²h / 2πrh = 1520 / 440 r² / 2 = = 1520 / 440 r ²= 1520×2/ 440 r²= 1520/220 r= √1520/220 BUT WE ARE GIVEN THAT πr²h = 1520 22/7 ×(√1520/440)²×H = 1520 22/7×1520×440× h = 1520 h = 7/ 22×440 h = 0 .007 m

The volume of a cylinder whose(b) The curved surface area of a cylindrical pillar is 440 cm² and its volume is1520 cm³ Find the height of the pillar.

Answer»

Question :

The curved surface area of a cylindrical pillar is 440 cm² and its volume is 1520 cm³ Find the height of the pillar.

Solution :

We know That -

CSA of cylinder = 2πrh

Volume of cylinder = πr²h

πr²h / 2πrh = 1520 / 440

r² / 2 = = 1520 / 440

r ²= 1520×2/ 440

r²= 1520/220

r= √1520/220

BUT WE ARE GIVEN THAT

πr²h = 1520

22/7 ×(√1520/440)²×H = 1520

22/7×1520×440× h = 1520

h = 7/ 22×440

h = 0 .007 m