# The radius and height of a cylinder are in the ratio 4:7.find the radius and height of the cylinder if it's volume is 1188cu cm. also find the total surface area.

2
by namratalokare2

2015-03-08T00:36:42+05:30

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Radius and height are in the ratio 4:7
height, h = 7x

volume = πr²h
⇒ 1188 = π × (4x)² × 7x
⇒ 1188 = (22/7) ×16x² × 7x
⇒ 1188 = 22×16x² × x
⇒ 1188 = 352x³
⇒ x³ = 1188/352 = 27/8
⇒ x = ∛(27/8) = 3/2 = 1.5cm

radius = 4x = 4×1.5 = 6cm
height = 7x = 7×1.5 = 10.5 cm

TSA = 2πr(r+h)
= 2×(22/7)×6(6+10.5)
= 836.28 cm²
:)
2015-03-08T09:56:12+05:30

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radius and height are in the ratio 4:7