the radius and height of a cylinder are in the ratio 3:2
and its volume is 19404 cm^3.find its radius and height
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r / h = 3 / 2
r = (3 / 2) * h
Volume of a cylinder is,
v = π r² h
19404 = π ((3 / 2) * h)² * h
19404 = π (9/4) * h³
19404 * (4 / 9) = π * h³
8624 = (22 / 7) * h³
h³ = 8624 * (7 / 22)
h³ = 2744
h = 14
r = (3 / 2) * 14
r = 21
r = (3 / 2) * h
Volume of a cylinder is,
v = π r² h
19404 = π ((3 / 2) * h)² * h
19404 = π (9/4) * h³
19404 * (4 / 9) = π * h³
8624 = (22 / 7) * h³
h³ = 8624 * (7 / 22)
h³ = 2744
h = 14
r = (3 / 2) * 14
r = 21
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