A right circular cylinder of radius and height is melted and cast into a cube of…

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A right circular cylinder of radius 7 cm7\,\text{cm} and height 9 cm9\,\text{cm} is melted and cast into a cube of equal volume. (i) Determine the length of an edge of the cube (correct to one decimal place). (ii) Taking π=227\pi=\dfrac{22}{7}, calculate the percentage increase in total surface area when the cylinder is converted into the cube. (Give your answer correct to one decimal place.)

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