Finding the Volume of a Cone and Sphere

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Finding the Volume of a Cone and Sphere
22-Nov-09
B ? A
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First find the area of the base. This is a circle
and for the cone on this page the radius is 5
cm So use the formula A ?r2 ? A 3.14 x 5 x
5 A 78.5 cm2 Now multiply this area by the
cones height 20 cm for this example - and then
divide this answer by 3 V 78.5
x 20 3 ? V 523.33 cm3
How to find the volume of a cone
5 cm
20 cm
V 1/3 ?r2h
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How to find the volume of a sphere
The formula for the volume of a sphere is
V 4/3 ?r3 This sphere has a diameter of 10 cm
so its radius is 5 cm V (4 3) x 3.14 x 53 V
4.187 x 125 V 523.33 cm3
Diameter 10 cm
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Calculate the volumes of these cones and spheres
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Calculate the volumes of these cones and spheres
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A composite shape is made by putting a a sphere
into the top of a cone. The spheres diameter is
10 cm and the cones height is 20 cm. What is the
volume of this shape? Vol Cone 523.33 Vol of
sphere 523.333.. But we only want half of the
sphere so its volume we need is 261.66. Add
together 523.33 261 .67 Volume 785.00 units3