The radius of the base and height of a cylinder are in the ratio of
7:9. If volume of the cylinder is 1386 cm3, find the radius of the
base.
(Ans: 7 cm)
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The radius of the base and height of a cylinder are in the ratio of
7:9. If volume of the cylinder is 1386 cm3, find the radius of the
base.
(Ans: 7 cm)
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Answer:
The radius of the base is 7 cm.
Explanation:
r/h = 7/9
r = (7/9)h
Volume of the cylinder = π r² h
1386 = (22/7) {(7/9)h}² x h
1386 = (22/7) (49/81) h² x h
1386 = {(22 x 7)/81} h³
h³ = (1386 x 81) / (22 x 7)
h³ = 112266 / 154
h³ = 729
Taking cube roots on both the sides,
h = ∛729
h = 9 cm
Substituting h = 9 cm in r = (7/9)h, we get,
r = (7/9)h
r = (7/9) x 9
r = 7 cm