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
