Question

the volume of a cylinder whose
(b) The curved surface area of a cylindrical pillar is 440 cm² and its volume is
1520 cm³ Find the height of the pillar.
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Answer 1

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

Answer 2

Step-by-step explanation:

CURVED SURFACE AREA OF A CYLINDER = 2πrh.

=440cm^2=2×22/7×r×h

=440×7/44=rh

=10×7=rh

=rh=70.

Now:

VOLUME= 1520

πr^2h=1520

= 22/7×r×r×h=1520

=22/7×70×r=1520

=r = 1520×7/22×1/70

= r = 152/22

= r = 76/11

= r = 6.90

Now:

rh = 70

6.909×h = 70

h = 70/6.909

h = 10.131. answer.