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I VULUMES0Example 7: A solid toy is in the form of ahemisphere surmounted by a right circular cone. Theheight of the cone is 2 cm and the diameter of thebase is 4 cm. Determine the volume of the toy. If aright circular cylinder circumscribes the toy, find thedifference of the volumes of the cylinder and the toy.(Take it = 3.14)Fig. 13.14ntanding on the |
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Answer» volume =vol of hemisphere+vol of cone=2/3πr^3+1/3πr^2hhere d=4, r=2, h=2=1/3πr^2(2r+h)= 1/3×22/7(2)^2{2×2+2)=22×4×6/3×7=25.14 cm^3volu of cylinder=πr^2h(r=2, h=2+2=4) = 22/7×4×4 = 22×16/7 =50.28 cm^3vol cylinder - vol of toy= 50.28 - 25.14= 25.14 cm^3 |
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