A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.

Question

A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.
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Solution 1

Sure, let's solve this step by step.

Step 1: Calculate the volume of the hollow sphere

The volume of a sphere is given by the formula (4/3)πr³. However, since this is a hollow sphere, we need to subtract the volume of the inner sphere from the volume of the outer sphere.

The radius of the outer s Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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