A cone is placed on top of the cylinder having diameter $6$ cm and height $8$ cm. The total height of the shape formed is $11$ cm. Then find the volume of the shape obtained.

254.46 c m^{3}

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244.16 c m^{3}

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203.15 c m^{3}

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198.46 c m^{3}

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Solution

The correct option is A $254.46 c m^{3}$
Volume of shape=volume of cone +volume of cylinder
$= \frac{1}{3} π r^{2} h + π r^{2} H$
$= π r^{2} [h / 3 + H]$
$= \frac{22}{7} \times 3 \times 3 [\frac{3}{3} + 8] = 254.46 c m^{3}$

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A cone is placed on top of the cylinder having diameter 6 cm and height 8 cm. The total height of the shape formed is 11 cm. Then find the volume of the shape obtained.

The correct option is A 254.46 cm3Volume of shape=volume of cone +volume of cylinder=13πr2h+πr2H=πr2[h/3+H]=227×3×3[33+8]=254.46cm3

A cone is placed on top of the cylinder having diameter $6$ cm and height $8$ cm. The total height of the shape formed is $11$ cm. Then find the volume of the shape obtained.

The correct option is A $254.46 c m^{3}$
Volume of shape=volume of cone +volume of cylinder
$= \frac{1}{3} π r^{2} h + π r^{2} H$
$= π r^{2} [h / 3 + H]$
$= \frac{22}{7} \times 3 \times 3 [\frac{3}{3} + 8] = 254.46 c m^{3}$