The diagram below shows a solid sphere. The radius of the sphere is $14$ cm. A cone of radius \(10

Question

The diagram below shows a solid sphere. The radius of the sphere is $14$ cm. A cone of radius
$10$ cm and height $11.5$ cm was cut out from the sphere.

What is the total surface area of the cone that was cut out from the sphere?
What is the volume of the cone?
The remaining part of the sphere was moulded into a hemisphere.
1. What is the radius of the hemisphere?
2. Find the total surface area of the hemisphere.

Accepted Answer

(a) $793\text{ cm}^2$ (b) $1200\text{ cm}^3$ (c)(i) $17.0\text{ cm}$ (c)(ii) $2720\text{ cm}^2$

Composite Solid: Sphere → Cone Removal → Hemisphere

Composite Solid: Sphere → Cone Removal → Hemisphere

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