the sum of the radius and height of cylinder is 37 cm . If the TSA of the cylinder is 1628 cmsquare find the volume of the cylinder.
Answers
Answer:
vol. of the cylinder is 4620 cu. cm
Step-by-step explanation:
Let r and h are the radius and height of the cylinder respectively
Sum of radius and height = 37
r + h = 37 cm
Total surface area of cylinder = 1628 sq.cm
2 Π r (h + r) = 1628
2 Π r (37) = 1628
2 Π r = 1628/37
2 Π r = 44
2 x (22/7) x r = 44
r = 44 x (1/2) x (7/22)
r = 7
7 + h = 37
h = 37 - 7
h = 30 cm
Volume of the right circular cylinder = Π r² h
= (22/7) x (7)² x (30)
= (22/7) x (7) x (7) x (30)
= (22) x (7) x (30)
= 4620 cm³
Volume of cylinder = 4620 cm³