A cylinder of same height and radius is placed on the top of a hemisphere. Find the length of the shape be 7 cm.

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Solution

Total height of the so formed shape = 7 cm
$∴$ Radius = height of cylinder $= \frac{7}{2} c m$
$∴$ Curved surface area $= 2 π r h + 2 π r^{2} = 2 π r (h + r) c m^{2} = 2 \times \frac{22}{7} \times \frac{7}{2} (\frac{7}{2} + \frac{7}{2}) c m^{2} = 22 (7) = 154 c m^{2}$

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A cylinder of same height and radius is placed on the top of a hemisphere. Find the length of the shape be 7 cm.

Total height of the so formed shape = 7 cm ∴ Radius = height of cylinder =72cm ∴ Curved surface area =2πrh+2πr2=2πr(h+r)cm2=2×227×72(72+72)cm2=22(7)=154cm2

Total height of the so formed shape = 7 cm
$∴$ Radius = height of cylinder $= \frac{7}{2} c m$
$∴$ Curved surface area $= 2 π r h + 2 π r^{2} = 2 π r (h + r) c m^{2} = 2 \times \frac{22}{7} \times \frac{7}{2} (\frac{7}{2} + \frac{7}{2}) c m^{2} = 22 (7) = 154 c m^{2}$