A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius
of the hemisphere is 4.2cm and the total height of the toy is 10.2cm. Then the volume of wooden toy is
1) 265.11cm
2) 256.1 1cm 3 ) 260.11 cm
4) 266.11cm
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Step-by-step explanation:
total height of toy =10.2cm
radius of hemisphere = height of hemisphere= 4.2cm
So height of cone = 10.2 - 4.2
= 6.0cm
Now vol. of hemisphere= 2/3 πr^3
= 2/3 × 22/7 ×(4.2)^3
= 155.232
vol. of cone= 1/3 ×π× r^2×h
= 1/3 ×22/7×(4.2)^2 × 6
= 332.64
total vol. = vol. of hemi. + vol of cone
= 155.232+ 332.64
= 487.872cm^3
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