# 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.

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Radius and height are in the ratio 4:7

let radius, r = 4x

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**

let radius, r = 4x

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 =

height = 7x = 7×1.5 =

TSA = 2πr(r+h)

= 2×(22/7)×6(6+10.5)

=

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

radius and height are in the ratio 4:7

radius( r) = 4k

height( h )= 7k

volume(v)=

height = 7x = 7×1.5 = 10.5 cm

TSA = 2πrh+2πr²

= 2*22/7*6*10.5+2*22/7*36

= 836.28 cm²

radius( r) = 4k

height( h )= 7k

volume(v)=

height = 7x = 7×1.5 = 10.5 cm

TSA = 2πrh+2πr²

= 2*22/7*6*10.5+2*22/7*36

= 836.28 cm²