Question

A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centimeters (cm3).​

Answer 1

Answer:

Volume = 65.55 cm³

Step-by-step explanation:

Given

Volume of a ball = 4 in³

Required

Convert volume from in³ to cm³

Recall that

Volume of the ball = 4 in³

Simplify the expression above

Volume = 4 * 1 in³ ------ Equation 1

From laws of indices:

1in³ = 1in * 1in * 1n

Substitute the above law in Equation 1

Volume = 4 * 1 in * 1 in * 1 in --- Equation 2

From the question,

1 in = 2.54cm

Substitute 2.54cm for 1 in in equation 2

Volume = 4 * 1 in * 1 in * 1 in becomes

Volume = 4 * 2.54 cm * 2.54 cm * 2.54 cm

Volume = 65.548256 cm³

Volume = 65.55 cm³ (Approximated)

Hence, the volume of the ball in cm³ is approximately 65.55 cm³