A toy in shape of a sphere of radius 7cm is surmounted by a cone of height 11cm. Find the volume of the toy.

2001cm³

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1001cm³

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1000cm³

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2000cm³

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Solution

The correct option is A
2001cm³

Volume of the toy = volume of sphere + volume of cone

= $\frac{4}{3} π r^{3} + \frac{1}{3} π r^{2} h$
= $\frac{4}{3} \times \frac{22}{7} \times 7^{3} + \frac{1}{3} \times \frac{22}{7} 7^{2} \times 11$

=1437.33 + 564.67
= 2002 $c m^{3}$

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A toy in shape of a sphere of radius 7cm is surmounted by a cone of height 11cm. Find the volume of the toy.

The correct option is A 2001cm3 Volume of the toy = volume of sphere + volume of cone = 43πr3+13πr2h = 43×227×73+13×22772×11 =1437.33 + 564.67 = 2002 cm3

The correct option is A
2001cm³

Volume of the toy = volume of sphere + volume of cone

= $\frac{4}{3} π r^{3} + \frac{1}{3} π r^{2} h$
= $\frac{4}{3} \times \frac{22}{7} \times 7^{3} + \frac{1}{3} \times \frac{22}{7} 7^{2} \times 11$

=1437.33 + 564.67
= 2002 $c m^{3}$