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Probability

Question

Wired Faculty App

1.1 cu.cm of copper is to be drawn into a cylindrical wire 0.5 cm in diameter. Calculate the length of the wire.

Solution

For wire
Radius (R) =

fraction numerator 0.5 over denominator 2 end fraction space cm equals 0.25 space cm

Let the length of the wire be h cm. Then, volume of the wire

equals πr squared straight h equals space 22 over 7 left parenthesis 0.25 right parenthesis squared straight h space cm cubed equals space fraction numerator 11 straight h over denominator 56 end fraction space cm cubed

According to thr question

space space space space space space fraction numerator 11 straight h over denominator 56 end fraction equals 1.1 rightwards double arrow space space space straight h equals 5.6 space cm

Some More Questions From Probability Chapter

A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high.

(i) What is the area of the glass?
(ii) How much of tape is needed for all the 12 edges?

Parveen wanted to make a temporary shelter for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m, with base dimensions 4 m × 3 m?

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.

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