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Q.

Ramesh, an ice cream seller, uses the container shown in the given figure to freeze ice creams. He gets an order for 700 ice creams. The density of ice is 0.9167 g/cm3. What quantity of ice cream should he freeze in order to complete the order?

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a

61 kg

b

64.5 kg

c

67 kg

d

69.5 kg

answer is B.

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Detailed Solution

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It can be seen that the given container consists of a cone and a cylinder.

Given: Radius of the cylinder (r) = 2 cm

Height of the cylinder (h1) = 10 - 3 = 7 cm

Radius of the cone (r) = 2 cm

Height of the cone (h2) = 3 cm

∴ Volume of one ice cream in the container

=πr2h1+13πr2h2

=227×22×7+13×227×22×3

=88+887

=7047 cm3

The total number of ordered ice cream is 700.

Therefore, the volume of ice cream to be frozen for completing the order

=700×7047

=70400 cm3
Therefore, the total quantity of ice cream to be frozen

= Density of ice cream × Total volume of the ice cream

= 0.9167 × 70400 cm3

= 64535.68 g

64.5 kg

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Ramesh, an ice cream seller, uses the container shown in the given figure to freeze ice creams. He gets an order for 700 ice creams. The density of ice is 0.9167 g/cm3. What quantity of ice cream should he freeze in order to complete the order?