Question

the sum of the radius of the base and height of a solid cylinder is 37cm.if the total surface area is 1628cm2,find the volume of the cylinder

Answer 1

Answer:

Step-by-step explanation:

Sum of radius and height=37cm

r+h=37

TSA of cylinder=1628cm^2

2πr(h+r)=1628

2×22/7×r×37=1628

By solving we get r = 7cm

r+h=37

Then h= 30cm

Volume of cylinder=πr^2h

=22/7×7×7×30

=22×210

Answer : Volume =4620cm^3

Answer 2

Answer: 4620cm^3 or 4620 cubic centimetres

Step-by-step explanation: height (h) + radius (r) is given as 37cm

Formula for total surface area of a cylinder is 2*pi*r(h+r) where pi is either 22/7 or 3.14 if specified in question.

We will take 22/7 if not specified.

So, (h+r) = 37cm and

Total surface area is given 1628 square cm.

Using the formula we get

1628 = 2*(22/7)*r*37

= (44/7)*37*r

= 1628/7*r

So,

r = 1628/(1628/7)

r = 1/(1/7) (cancelling 1628 from numerator and denominator)

r = 7cm

Now height (h) of the cylinder is h+r - r which is 37-7 = 30cm

The formula for volume of cylinder is pi*r^2*h

Putting the values for r and h we get

volume = (22/7)*7^2*30

= (22/7)*7*7*30

= 22*7*30

= 4620cm^3