The radius and height of a cylinder are in the ratio 5:7 and its volume is 550 cu cm . Find its radius?
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let radius be 5x
let height be 7x
22/7×5x×5x×7x=550
22
let height be 7x
22/7×5x×5x×7x=550
22
Answered by
1
Answer:
5 cm
Step-by-step explanation:
Ratio: 5:7
Let the radius and height be 5x and 7x,
Volume = 550 cm^2
Volume =
\pi \: {r}^{2} hπr
2
h
= 22/7 × 5x ×5x ×7x = 550
=22× 25x^3 = 550
=550x^3=550
=x^3=1
=x= cube root of 1 = 1 cm
Radius= 5 ×1 =5 cm
Height= 7×1=7 cm
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