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Probability

Question
CBSEENMA9003679
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A conical tent is to accommodate 11 persons. Each person must have 4 square metre of the space on the ground and 20 cubic metres of air to breath. Find the height of the cone.

Solution
Let the base radius and the height of the cone be r cm and h cm respectively. Then,
 space space space space space space space space space space space space space space space space space πr squared equals 11 cross times 4 rightwards double arrow space space space space space space space space space space space space space space 22 over 7 straight r squared equals 44 rightwards double arrow space space space space space space space space space space space space space space space straight r squared equals 14 space space space space space space space space space space space space space space space space space space space space... left parenthesis 1 right parenthesis and comma space space space space space space space space space space space space space 1 third πr squared straight h equals 11 cross times 20 rightwards double arrow space space space space space space space space space space space space space space space space 1 third.22 over 7.14. straight h equals 220 space space space space space space space space space space space space space space space vertical line From space left parenthesis 1 right parenthesis rightwards double arrow space space space space space space space space space space space space space space space space space straight h space equals space 15 space straight m space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space.. left parenthesis 2 right parenthesis      
Hence, the height of the cone is 15 m.             

Some More Questions From Probability Chapter

A table cover 4 m x 2 m is spread on a table. Find the cost of polishing the top of the table at र40 per square metre of 25 cm table cover is hanging all round the table.

A classroom is 7 m long, 6.5 m wide and 4 m high. It has one door 3 m x 1.4 m and three windows each measuring 2 m x 1 m. The interior wall is to be colour washed. Find the cost of colour washing at the rate of र 3.50 per m2.

Two cubes of side 6 cm each, are joined end to end. Find the surface area of the resulting cuboid.  

The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rates of र 8 and र 9.50 per m2 is र1248. Find the dimensions of the box. 

The length, breadth and height of a cuboid are 15 cm, 10 cm and 20 cm. Find the surface area of the cuboid.

Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it (see figure). She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively how many square sheets of paper of side 40 cm would she require?

Hameed has built a cubical water tank with lid for his house, with each outer edge 1.5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm (see figure). Find how much he would spend for the tiles, if the cost of the tiles is र 360 per dozen.

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