Calculate the volume of a sphere with a radius of 4.0 cm. Use pi=3.14 in your calculations. Assume the units are cm3 and do not include them in your answer. Round your answer to the nearest tenth.
V = (pi * d^3)/6
V = (3.14 * 8^3)/6
V = (3.14 * 512)/6
V = 1607.68 / 6
V = 267.94 = 267.9
Find the volume of a sphere with a radius of 4. Use the
formula . (Round your answer to three decimal
places.)
To calculate the volume of a sphere, we can use the formula:
V = (4/3) * pi * r^3
Where:
V is the volume of the sphere
pi is a constant approximately equal to 3.14
r is the radius of the sphere
Now, let's substitute the given values into the formula:
V = (4/3) * 3.14 * (4.0 cm)^3
First, we need to cube the radius:
V = (4/3) * 3.14 * (4.0 cm)^3
= (4/3) * 3.14 * (4.0 cm * 4.0 cm * 4.0 cm)
= (4/3) * 3.14 * 64.0 cm^3
Now, multiply the fractions:
V = (4/3) * 3.14 * 64.0 cm^3
= (12.56/3) * 64.0 cm^3
Using a calculator, we find 12.56 * 64.0 = 802.24
V = 802.24 cm^3
Therefore, the volume of the sphere is approximately 802.2 cm^3 (rounded to the nearest tenth).