Question

B) The sum of the radius of base and height of a solid cylinder is 37 cm. If the total surface area of the
solid cylinder is 1628 sq. cm, find the volume of the cylinder. (Use = 3)

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Answer 1

Step-by-step explanation:

let the radius of base and height of the solid right circular cylinder b r cm and its respectively

according to question

r+h = 37........(1)

total surface area =1628 square CM

2πr(r+h)=1628....(2)

from equation 1 and equation 2 we get

2πr(37)=1628

2πr=44

r=7cm

putting the value of r in equation 1 we get

7+h = 37

h= 30 cm

now volume of the cylinder= πr

22/7×7×7×30

4620cm cube

hence the volume of the cylinder is 4620 cm cube

hope it's help you