A cone of height 24 cm and base radius 6 cm is made of modelling clay. A child reshapes it in the form of a sphere. The radius of the sphere is :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 6 cm
Reshaping the clay does not change the amount of clay, so the volume of the sphere equals the volume of the cone.
Volume of the sphere of radius \(R\) = volume of the cone: \(\frac{4}{3}\pi R^3=\frac{1}{3}\pi\times6^2\times24\)
\(4R^3=36\times24=864\)
\(R^3=216\), so \(R=6\) cm