"Question 8 If the triangle ABC in the Question 7 above is revolved about the side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained in Questions 7 and 8.
Class 9 - Math - Surface Areas and Volumes Page 233"
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On revolving the right angled ⃤ ABC along the side 5 cm, we get a cone of radius(r)= 12 cm, height(h) 5 cm, and slant height(l) =13 cm will be formed.
Volume of solid so obtained(V1) =1/3 πr²h
= (1/3 × π × 12 × 12 × 5)
V1= 240π cm³
In the previous question , the volume V2 obtained by revolving ∆ABC about the side 12 cm.
V2 = 100π cm³
Ratio of the volumes =
V2/V1
=100π/240π
=10/24
=5/12 = 5:12
Hence, the required ratio is 5:12.
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