A cylinder 3 m high, is open at the top. The circumference of its base is 22 cm. Find its total surface area.

$open parentheses Take space straight pi space equals space 22 over 7 close parentheses$

Solution

Let the base radius of the cylinder be r cm.
Then,
$space space space space space space space space space space space space 2 πr space equals space 22 rightwards double arrow space space 2 cross times 22 over 7 cross times straight r equals 22 rightwards double arrow space space space straight r space equals space 7 over 2 space space space space space$
h = 3 m
$therefore$ Toatal surface area = $2 πrh plus πr squared$
$equals 2 cross times 22 over 7 cross times 7 over 2 cross times 3 plus 22 over 7 cross times 7 over 2 cross times 7 over 2$
= 66 + 38.5
= 104.5 m²

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Probability

A cylinder 3 m high, is open at the top. The circumference of its base is 22 cm. Find its total surface area.

$open parentheses Take space straight pi space equals space 22 over 7 close parentheses$

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.

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For Daily Free Study Material Join wiredfaculty

Probability

A cylinder 3 m high, is open at the top. The circumference of its base is 22 cm. Find its total surface area.

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A cylinder 3 m high, is open at the top. The circumference of its base is 22 cm. Find its total surface area.

$open parentheses Take space straight pi space equals space 22 over 7 close parentheses$

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.

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.