The height of a cone is 15 cm. If its volume is 1570 cm 3 , find the radius of the base. (Use = 3.14) - Wired Faculty

Probability

Question

The height of a cone is 15 cm. If its volume is 1570 cm³, find the radius of the base. (Use $straight pi$ = 3.14)

Solution

Let the radius of the base of the cone be r cm.
h = 15 cm Volume = 1570 cm³ $rightwards double arrow space space space space space space 1 third πr squared straight h space equals space 1570 rightwards double arrow space space space space space space 1 third cross times 3.14 cross times straight r squared cross times 15 equals 1570 rightwards double arrow space space space space space space space straight r squared equals fraction numerator 1570 cross times 3 over denominator 3.14 cross times 15 end fraction rightwards double arrow space space space space space space space straight r squared equals 100 rightwards double arrow space space space space space space space straight r equals square root of 100 rightwards double arrow space space space space space space space straight r equals 10 space cm$
Hence, the radius of the base of the cone is 10 cm.

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Probability

The height of a cone is 15 cm. If its volume is 1570 cm³, find the radius of the base. (Use $straight pi$ = 3.14)

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.

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

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Probability

The height of a cone is 15 cm. If its volume is 1570 cm3, find the radius of the base. (Use = 3.14)

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

The height of a cone is 15 cm. If its volume is 1570 cm³, find the radius of the base. (Use $straight pi$ = 3.14)

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.