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A sphere, a cone and a cylinder have equal radii. Their curved surface areas are equal. If the volume of the sphere is 1437 cm3. (Give answers to 4 significant figures)

Mathematics

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5. A sphere, a cone and a cylinder have equal radii. Their curved surface areas are equal. If the volume of the sphere is 1437 cm31437 \text{ cm}^3. (Give answers to 4 significant figures)

a) Find the radius of the sphere.

Step 1: The formula for the volume of a sphere is Vs=43πr3V_s = \frac{4}{3}\pi r^3.
We are given Vs=1437 cm3V_s = 1437 \text{ cm}^3.

1437=43πr31437 = \frac{4}{3}\pi r^3

Step 2: Solve for r3r^3.

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