Short Answer TypeA 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
A matchbox measures 4 cm × 2.5 cm × 1.5 cm. What will be the volume of a packet containing 12 such boxes?
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)
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?
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.
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?
For godown
l = 40 m b = 25 m h = 10 m
∴ Capacity of the godown = Ibh
= 40 x 25 x 10 m3 = 10000 m3
For a wooden crate
l = 1.5 m b = 1.25 m h = 0.5 m
∴ Capacity of a wooden crate = Ibh
= 1.5 x 1.25 x 0.5 m3 = 0.9375 m3
We have,
Hence, the maximum number of wooden crates that can be stored in the godown is 10666.
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