What is V=1/3\pi(8)^2(20)
V = 1/3 * π * (8)^2 * (20) is the formula for calculating the volume of a cone with a radius of 8 units and a height of 20 units.
what is the answer
The volume is calculated as follows:
V = 1/3 * π * (8)^2 * (20)
= 1/3 * 3.14 * 64 * 20
= 1/3 * 3.14 * 1280
= 1334.93 cubic units (rounded to two decimal places)
The expression V = (1/3)π(8)^2(20) represents the volume of a cone. To calculate the volume, we can follow these steps:
1. Start by calculating the value of (8)^2. This means we need to square the number 8, which equals 64.
2. Next, multiply the result from step 1 by 20. So, 64 * 20 = 1280.
3. Now, we need to multiply the value from step 2 by π (pi), which is approximately equal to 3.14159. Thus, 1280 * 3.14159 ≈ 4023.36.
4. Lastly, divide the result from step 3 by 3 to get the final volume. So, 4023.36 / 3 ≈ 1341.12.
Therefore, V ≈ 1341.12 cubic units.