11.5 Spheres and Hemispheres

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Key Formulas

Solved Examples

Step 1

Inner radius r=5r = 5 cm. Thickness t=0.25t = 0.25 cm.

Step 2

Outer radius R=r+t=5+0.25=5.25R = r + t = 5 + 0.25 = 5.25 cm.

Step 3

Outer CSA = 2πR22\pi R^2.

Step 4

=2×227×5.25×5.25= 2 \times \frac{22}{7} \times 5.25 \times 5.25.

Step 5

=44×0.75×5.25= 44 \times 0.75 \times 5.25.

Step 6

=33×5.25=173.25 cm2= 33 \times 5.25 = 173.25 \text{ cm}^2.

Final Answer

173.25 cm²

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