The volume of a composite figure made of a cone and a cylinde is 87π cubic cm or 273.31 cubic cm.
It is given that the composite figure made of a cone and a cylinder. a cone has a height of 8 centimeters and radius of 3 centimeters. a cylinder has a height of 7 centimeters and radius of 3 centimeters.
It is required to find the volume of composite figure.
It is defined as a three-dimensional space enclosed by an object or thing.
We have a cone:
The height of cone h = 8 cm
Radius of the cone r = 3 cm
We know the formula for finding the volume of a cone:
[tex]\rm V(cone) = \pi r^2\frac{h}{3}[/tex]
Puttin the values of r and h, we get:
[tex]\rm V(cone) = \pi 3^2\frac{8}{3}\\\\\rm V(cone) = 24\pi \ cm^3[/tex]
We have a cylinder:
The hieght of the cylinder H = 7 cm
The radius of the cylinder R = 3 cm
The formula for finding the volume of cylinder is given by:
[tex]\rm V(cylinder) = \pi R^2{H}[/tex]
Putting the values of the R and H, we get:
[tex]\rm V(cylinder) = \pi 3^2{7}\\\\\rm V(cylinder) = 63\pi\ \rm cm^2[/tex]
The volume of the composite figure:
= V(cone) + V(cylinder)
= 24π + 63 π
= 87 π cubic cm or
= 273.31 cubic cm
Thus, the volume of a composite figure made of a cone and a cylinde is 87π cubic cm or 273.31 cubic cm.
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