4) Find the volume of a cone having the radius of the base as 10 cm and the height of the cone is 12 cm?

Question

UpStudy AI · Accepted Answer

1. The formula for the volume of a cone is given by 
   $$
   V = \frac{1}{3} \pi r^2 h
   $$

2. Given that the radius $$ r $$ is 10 cm and the height $$ h $$ is 12 cm, substitute these values into the formula:
   $$
   V = \frac{1}{3} \pi (10)^2 (12)
   $$

3. Compute the square of the radius:
   $$
   (10)^2 = 100
   $$

4. Substitute this result back into the volume formula:
   $$
   V = \frac{1}{3} \pi \times 100 \times 12
   $$

5. Multiply 100 and 12:
   $$
   100 \times 12 = 1200
   $$
   
6. Multiply by $$\frac{1}{3}$$:
   $$
   V = \frac{1}{3} \times 1200 \pi = 400 \pi
   $$

Thus, the volume of the cone is 
$$
\boxed{400\pi \text{ cm}^3}
$$
The volume of the cone is $$400\pi$$ cubic centimeters.

4) Find the volume of a cone having the radius of the base as 10 cm and the height of the cone is 12 cm?

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