Find the volume of a sphere with a radius of 10 feet. Round to the nearest whole number.
V = (4/3)3.14(r)^3 = (formula)
I don't know what to do about the fraction, four over three (4/3), in the formula.... Show me how to do this please?
V = ( 4 / 3 ) * pi * r ^ 3
V = ( 4 * pi * r ^ 3 ) / 3
V = 4 * 3.1416 * 10 ^ 3 / 3
V = 4 * 3.1416 * 1000 / 3
V = 12566.4 / 3
V = 4188.8 ft ^ 3
Round to the nearest whole number
V = 4189 ft ^ 3
Multiply:
4/3* 3.14 * 10^2 =
1256/3 =
419 ft^3
To find the volume of a sphere with a radius of 10 feet, you can use the formula:
V = (4/3)πr^3
Here's how you can calculate it step by step:
Step 1: Plug in the given value for the radius:
V = (4/3)π(10)^3
Step 2: Simplify the exponent:
V = (4/3)π(1000)
Step 3: Multiply the fraction (4/3) with π:
V = (4/3) × 3.14 × 1000
Step 4: Calculate (4/3) × 3.14:
V = 4.186 × 1000
Step 5: Multiply 4.186 by 1000:
V = 4186
Therefore, the volume of a sphere with a radius of 10 feet is approximately 4186 cubic feet when rounded to the nearest whole number.
To find the volume of a sphere, you can use the formula V = (4/3)πr^3.
In this formula, π represents the mathematical constant pi (approximately 3.14159) and r represents the radius of the sphere.
To calculate the volume of a sphere with a radius of 10 feet, you can substitute the values into the formula as follows:
V = (4/3)π(10)^3
First, calculate the value of r^3:
10^3 = 10 × 10 × 10 = 1000
Now, substitute this value into the formula:
V = (4/3)π(1000)
To deal with the fraction (4/3), you need to multiply it by π and 1000:
V = (4/3) × 3.14159 × 1000
Now, calculate:
V = (4/3) × 3.14159 × 1000 = 4188.79
The result is 4188.79 cubic feet.
To round the answer to the nearest whole number, you can round up if the decimal part is 0.5 or greater, and round down if it's less than 0.5.
In this case, the decimal part is 0.79, which is greater than 0.5. So, rounding up, the volume becomes:
V ≈ 4189 cubic feet.