A metallic conical bowl with base radius 10 cm and height 24 cm is uniformly heated, increasing all dimensions by 10%. By how much does the volume increase?
Show answer & explanation
Correct answer: C
Explanation
Given:
Increase in all dimensions = 10%
According to the formula:
Volume = (Length)³
Multiplier for the new length = 1 + 10/100 = 1.1
Multiplier for the new volume = (1.1)³ = 1.331
Increase in volume = 1.331 − 1 = 0.331
Percentage increase = 0.331 × 100 = 33.1%