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Geometry

# Surface Area - Sphere

The surface area of a sphere with radius $$5$$ is equal to $$M \pi$$, where $$M$$ is a positive integer. Determine the value of $$M$$.

Given a sphere with volume $$\frac{32}{3}\pi$$, what is the surface area of the sphere?

Given a solid hemisphere with radius $$12,$$ what is the total surface area of the hemisphere?

Given a sphere with radius $$7$$ and surface area $$A$$, if the radius of the sphere is increased to $$2 \times 7$$, and the resulting surface area is $$c A$$, what is the value of $$c$$?

The above diagram shows a quarter circle with radius $$10.$$ If the quarter circle is rotated $$360^\circ$$ around line $$l,$$ what is the surface area of the resulting body?

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