. The curved surface area of a cylinder is 3960 cm² and its
volume is 41,580 cm. Find the radius and height of a cylindered
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Step-by-step explanation:
CSA of a cylinder = 3960
πr∧2h =3960
22/7 ×r×h=3960
r×h =3960×7/22
r×h =630
r = 630 / h .....equation(1)
now , volume of a cylinder = 41583
πr∧2 ×h = 41583
substituting the value of r from eq-1
[630 / h]∧2 ×h = 41583×7/22
396900 × h = 291081/22
h = 396900 ×22 / 291081
h = 29.997 cm
now , r = 630 / h as mentioned in eq - 1
r = 630/ 29.99
r = 21.007 cm
hence the radius is 21.007 cm and height is 29.997 cm
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