Calculate the volume of this regular solid.


A cone 4.5 centimeters high with a radius of 3 centimeters. Label B is pointing to the circular base of the cone.


What is the volume of the cone? Round your answer to the nearest hundredth.

Respuesta :

Answer:

V = 42.41cm^3

Explanation:

In order to calculate the volume of the solid, you use the following formula:

[tex]V=\frac{1}{3}\pi r^2 h[/tex]

where

r: radius of the circular base of the cone = 3 cm

h: height from the circular base to the peak of the cone = 4.5 cm

You replace the values of r and h in the formula for the volume V:

[tex]V=\frac{1}{3}\pi(3cm)^2(4.5)=42.411cm^3\approx42.41cm^3[/tex]

hence, the volume of the solid is 42.41 cm^3

Answer:

42.41

Explanation:

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