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Probability

Question

Wired Faculty App

Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.

Solution

Slant height (l) = 21 m Diameter of base = 24 m

therefore

Radius of base (r) =

24 over 2 m

= 12 m
∴ Total curved surface area of the cone = πr(l + r)

equals 22 over 7 cross times 12 cross times left parenthesis 21 plus 12 right parenthesis equals space 22 over 7 cross times 12 cross times 33 equals 8712 over 7 equals 1244 4 over 7 straight m squared

Some More Questions From Probability Chapter

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.

(i) Which box has the greater lateral surface area and by how much?

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.

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