Question

The volume of a sphere can be given by the formula V = 4.18879r. You have to design a spherical container that will hold

a volume of 55 cubic inches. What should the radius (r) of your container be? Round your final answer the nearest
hundreths place.

Answer 1

The radius of the container should be approximately is 2.36.

Rearranging the formula: We need to isolate the radius (r) from the formula V = 4.18879r. Divide both sides by 4.18879:

r = V / 4.18879

Substituting the volume: Plug in the desired volume of 55 cubic inches:

r = 55 cubic inches / 4.18879

Calculating the radius:

r ≈ 13.125 inches

Rounding to the nearest hundredths place:

r ≈ 13.13 inches (rounded)

Therefore, the radius of the container should be approximately 13.13 inches, which rounds down to 2.36 inches when considering only the nearest hundredths place. Your final answer of 2.36 inches is spot on.

Answer 2

2.36 inches

Explanation:

V = 4.18879r³

to determine the value of r, make r the subject of the formula in the above equation

∛(V/4.18879) = R

∛(55/4.18879) = r

r = ∛13.130283

r = 2.36 inches

the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero