Calculate the volume of this regular solid. what is the volume of the cone? round your answer to the nearest hundredth


V= 42.41

Step-by-step explanation:

V = \pi r^{2}\frac{h}{3}

where r is the radius = 3 and h is the height = 4.5

V= \pi × 3^{2} × \frac{4.5}{3}

V = 42.41

The volume of the cone = 42.41 cm³


* Lets explain how to solve the problem

- The volume of the cone = 1/3 area of its base × its height

- The base of the cone is a circle

∵ The area of a circle = πr²

∴ The volume of the cone = 1/3 πr² × h = 1/3 πr²h

* Lets solve the problem

- From the figure:

- The cone has a base of radius 3 cm

∴ r = 3 cm

- The cone has a height of 4.5 cm

∴ h = 4.5 cm

∵ The volume of the cone = 1/3 πr²h

- Substitute the values of r and h in the rule of the volume

∴ The volume of the cone = 1/3 π(3)²(4.5) = 13.5π

∵ π ≅ 3.14159

∴ The volume of the cone = 42.41 cm³

* The volume of the cone = 42.41 cm³

42.41 cubic centimeters


The volume of a cone with base radius r and height h is given by the formula;

Volume=\frac{1}{3}*\pi  *r^{2} *h

The radius is give as 3 cm while the height as 4.5 cm. We plug in these values into the above formula and simplify;

Volume=\frac{1}{3}*\pi  *3^2*4.5\\\\Volume=42.4115

its 42.41 cm^3 on edge.


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