### Math Notes

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#### Solid Geometry Solutions

##### Topics || Problems

A cone axis is 30 cm which inclined at 60 o from the horizontal and has a base diameter of 20 cm. What is the volume of cone in cubic centimeters?

Solution

$$V = \frac{A_b h}{3}$$

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

$$h = 30 \sin 60^o$$

$$h = 15\sqrt{3}$$

$$V = \frac{\pi (10)^2 (15\sqrt{3})}{3}$$

$$V = 2 720.70 cm^3$$