Question

find the radius of the cylinder of its volume is 41580 cm^3 and ratio of its radius and its height is 7:10​

Answer 1

Answer:

21 cm

Step-by-step explanation:

Volume of cylinder = Πr^2.h

41580cm^3 = Πr^2.h

Now, r:h = 7:10

Therefore, r/h=7/10

Use constant value ‘x’

Now, r=7x and h=10x

41580= Π(7x)^2.10x

41580/Π=49x^2.10x

Now, Π=22/7

Therefore, 13230=490x^3

13230/490=x^3

27=x^3

If 27=x^3, then x=3

Radius = 7x=7*3=21

Therefore, radius = 21cm