A right triangle PQR with sides
7 cm, 24 cm and 25 cm is
revolved about the side 24
cm. Find the volume of solid
so obtained
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Answer:
Step-by-step explanation:
In this question the height of the cone will be 7cm.
The slant height will be the hypotenuse of the right angled triangle.
The base of the triangle will be the circumference of the circular base of the cone.
Taking pie as 3.142 we can get the radius of the cone given the circumference.
Circumference = pie × 2r
24cm = 3.142 × 2 × r
r = 24/(3.142 × 2)
r = 3.819
Volume of a cone equals :
Volume = 1/3 × pie × r × r
Doing the substitution we have :
Volume = 1/3 × 3.142 × 3.819 × 3.819
= 15.28
= 15.28 cubic centimeters.
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