If the volume of a right circular cone of height 9 cm is 48π cm 3 , find the diameter of its base. - Wired Faculty

Probability

Question

If the volume of a right circular cone of height 9 cm is 48π cm³, find the diameter of its base.

Solution

Let the radius of the base of the right circular cone be r cm.
h = 9 cm Volume = 48π cm³ $rightwards double arrow space space space space space 1 third πr squared straight h equals 48 straight pi rightwards double arrow space space space space space 1 third straight r squared straight h equals 48 rightwards double arrow space space space space space 1 third cross times straight r squared cross times 9 equals 48 rightwards double arrow space space space space straight r squared equals fraction numerator 48 cross times 3 over denominator 9 end fraction rightwards double arrow space space space space straight r squared equals 16 rightwards double arrow space space space space straight r equals square root of 16 equals 4 space cm rightwards double arrow space space space 2 straight r space equals space 2 left parenthesis 4 right parenthesis space equals space 8 space cm$
Hence, the diameter of the base of the right circular cone is 8 cm.

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Probability

If the volume of a right circular cone of height 9 cm is 48π cm³, find the diameter of its base.

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

If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.

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

If the volume of a right circular cone of height 9 cm is 48π cm³, find the diameter of its base.

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.