Question

calculate the volume of this regular solid what is the volume of the cone round your answer to the nearest hundredth​

Answer 1

Answer:

42.41 cubic centimeters

Explanation:

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;

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

Answer 2

Answer:

The volume of the cone = 42.41 cm³

Explanation:

* 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