Question

A toy is in the form of a cone mounted on a hemisphere as. If the radius of each of
these solids is 7/2 cm and height of the cone is 5 cm, find the volume of the toy.
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Answer 1

Answer:

total volume of the toy is $243.73 cm^3$

Step-by-step explanation:

Volume of the cone

$V= \frac{\pi }{3} r^2h\\V= \frac{\pi }{3}\ times (7/2)^2 \times 5\\V=\frac{\pi }{12} 49 \times 5\\V=\frac{\pi }{12} 245$

Volume of the hemisphere is

$V =\frac{4}{3} \pi r^3\\V=\frac{4}{3} \pi (7/2)^3\\V=\frac{343}{6} \pi$

Total volume is volume of cone+ volume of cylinder

$=\frac{245}{12} \pi +\frac{343}{6} \pi \\=\pi (\frac{245+343 \times 2}{12} )\\=\pi (\frac{931}{12} \\=243.73 cm^3$