A cone is attached to a hemisphere of radius 4 cm. If the total height of the object is 10 cm, find its volume.
Let's calculate the volume of the cone and the volume of the hemisphere seperatly and then add them. I will be accurate to 2 points after the decimal point.
Hemisphere: V = (2/3)*pi*r^3 = 128*pi/3 = 134.04
If the height of the entire object is 10, and the radius of the hemisphere is 4, then the height of the cone is 10 - 4 = 6.
Cone: V = (1/3)*pi*r^2*h = 32*pi = 100.53
Vcone + Vhemisphere = 134.04 + 100.53 = 234.57
A cone is attached to a hemisphere of radius 4 cm.
If the total height of the object is 10 cm, find its volume.
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We have cone with radius 4 and height 6.
You should be able to find the total volume
. . without a calculator and without rounded-off decimals.
A sphere has volume: . , where is the radius.
A half-sphere with radius 4 has volume: .
A circular cone has volume: .
A cone with has volume: .
The total volume is: .
If you want a decimal, now is the time to crank it out:
. . . .
and we get: .