Find the volume of a shape obtained by placing a cone onto the circular end of hemisphere. The hemisphere has a radius $5$ cm and height of the cone is $4$ cm.

266.5 c m^{3}

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366.5 c m^{3}

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456.5 c m^{3}

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576.5 c m^{3}

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Solution

The correct option is B $366.5 c m^{3}$
Volume of shape=Volume of cone+volume of hemisphere
$= \frac{1}{3} π r^{2} h + \frac{2}{3} π r^{3}$
$= \frac{1}{3} π r^{2} [h + 2 r] = \frac{1}{3} \times \frac{22}{7} \times 5 \times 5 (4 + 2 \times 5)$
$= 366.5 c m^{2}$

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Find the volume of a shape obtained by placing a cone onto the circular end of hemisphere. The hemisphere has a radius 5 cm and height of the cone is 4 cm.

The correct option is B 366.5 cm3Volume of shape=Volume of cone+volume of hemisphere=13πr2h+23πr3=13πr2[h+2r]=13×227×5×5(4+2×5)=366.5cm2

Find the volume of a shape obtained by placing a cone onto the circular end of hemisphere. The hemisphere has a radius $5$ cm and height of the cone is $4$ cm.

The correct option is B $366.5 c m^{3}$
Volume of shape=Volume of cone+volume of hemisphere
$= \frac{1}{3} π r^{2} h + \frac{2}{3} π r^{3}$
$= \frac{1}{3} π r^{2} [h + 2 r] = \frac{1}{3} \times \frac{22}{7} \times 5 \times 5 (4 + 2 \times 5)$
$= 366.5 c m^{2}$