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Probability

Question

Wired Faculty App

The curved surface area of a right circular cylinder of height 14 cm is 88 cm2 . Find the diameter of the base of the cylinder.

Solution

Let the radius of the base of the cylinder be r cm.
h = 14 cm
Curved surface area = 88 cm² | Given

rightwards double arrow space space space space 2 πrh space space equals space 88 rightwards double arrow space space space space 2 cross times 22 over 7 cross times straight r cross times 14 equals 88 rightwards double arrow space space space space space straight r equals fraction numerator 88 cross times 7 over denominator 2 cross times 22 cross times 14 end fraction rightwards double arrow space space space space space straight r equals 1 rightwards double arrow space space space space space 2 straight r space equals space 2

Hence, the diameter of the base of the cylinder is 2 cm.

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 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.

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