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Mathematics : Surface Areas and Volumes

Short Answer Type

111.

A hemispherical dome of a building is to be white washed. The total cost of white washing of dome building is र 924 at the rate of र 3/m². Find the
(a) radius of the hemisphere
(b) volume of air in the dome

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112. The total surface area of a solid hemisphere is 5940 cm². Find the diameter of the hemisphere.

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113.

A matchbox measures 4 cm × 2.5 cm × 1.5 cm. What will be the volume of a packet containing 12 such boxes?

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114.

A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1 m3 = 1000 l)

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115.

A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?

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116. Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of र 30 per m³.

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117.

The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m.

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118.

A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last?

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119. A godown measures 40 m x 25 m x 10 m. Find the maximum number of wooden crates each measuring 1.5 m x 1.25 m x 0.5 m that can be stored in the godown.

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120. A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

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