A metal sphere of radius 10.5cm is melted and casted in to 18 identical small solid right circular cones. The height of a cone is 7cm. In this process a volume of 94.59 cm³ of metal is wasted. Taking the value of n as 3.14. 1. ii. iii. Calculate the volume of the metal sphere. Find the volume of a casted cone and show that the base of radius r of the cone is given by, 792 r² = 21.98 Using the logarithmic table find the value of r² and accordingly find the value of r.

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 47E: Richard has a fuel tank in the shape of a right circular cylinder. The tank has a height of 6 ft and...
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Please help me on the following volume question. (Attached as an image)

A metal sphere of radius 10.5cm is melted and casted in to 18 identical small solid right circular
cones. The height of a cone is 7cm. In this process a volume of 94.59 cm³ of metal is wasted.
Taking the value of n as 3.14.
1.
ii.
iii.
Calculate the volume of the metal sphere.
Find the volume of a casted cone and show that the base of radius r of the cone is given by
2²=
792
21.98
Using the logarithmic table find the value of r² and accordingly find the value of t.
R
Transcribed Image Text:A metal sphere of radius 10.5cm is melted and casted in to 18 identical small solid right circular cones. The height of a cone is 7cm. In this process a volume of 94.59 cm³ of metal is wasted. Taking the value of n as 3.14. 1. ii. iii. Calculate the volume of the metal sphere. Find the volume of a casted cone and show that the base of radius r of the cone is given by 2²= 792 21.98 Using the logarithmic table find the value of r² and accordingly find the value of t. R
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