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MathematicsMedium
Mensuration
Surface Area

What is the cost of painting the curved surface of a cylinder with radius 7 m and height 10 m at the rate of Rs. 5 per sq. m?

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MathematicsMedium
Mensuration
Surface Area

A sphere is inscribed in a cube of side 6 cm. What is the surface area of the sphere?

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MathematicsMedium
Mensuration
Surface Area

The base of a prism is an equilateral triangle of side 4 cm. If its height is 10 cm, find its total surface area.

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MathematicsMedium
Mensuration
Surface Area

If the curved surface area of a sphere is 616 sq. cm, find its volume.

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MathematicsMedium
Mensuration
Surface Area

A tent is in the form of a cylinder surmounted by a cone. If the height and diameter of the cylindrical part are 2.1 m and 4 m, and slant height of the cone is 2.8 m, find the area of the canvas used.

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MathematicsMedium
Mensuration
Surface Area

The ratio of the radii of two cylinders is 1:√3 and their heights are in the ratio 2:3. Find the ratio of their volumes.

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MathematicsMedium
Mensuration
Surface Area

Find the total surface area of a cone whose radius is r/2 and slant height is 2l.

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MathematicsMedium
Mensuration
Surface Area

The length of the longest pole that can be put in a room of dimensions 10m x 10m x 5m is:

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MathematicsMedium
Mensuration
Surface Area

If the surface area of a sphere is S, what is the surface area of a hemisphere of the same radius?

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MathematicsMedium
Mensuration
Surface Area

A well with 14 m inside diameter is dug 10 m deep. Find the inner curved surface area.

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MathematicsMedium
Mensuration
Surface Area

If the height of a cylinder is doubled and the radius is halved, the new curved surface area will be:

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MathematicsMedium
Mensuration
Surface Area

A square sheet of side 44 cm is rolled along its side to form a cylinder. Find the radius of the cylinder.

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MathematicsMedium
Mensuration
Surface Area

Find the area of a square whose diagonal is 10 cm.

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MathematicsMedium
Mensuration
Surface Area

What is the surface area of a sphere whose volume is 4.5π cubic units?

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MathematicsMedium
Mensuration
Surface Area

A solid cylinder has a total surface area of 462 sq. cm. Its curved surface area is one-third of its total surface area. Find the radius of the cylinder.

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MathematicsMedium
Mensuration
Surface Area

How many bricks each of size 25cm x 10cm x 8cm will be required to build a wall 5m long, 3m high and 16cm thick?

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MathematicsMedium
Mensuration
Surface Area

Find the ratio of the total surface area to the curved surface area of a cylinder of radius r and height h.

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MathematicsMedium
Mensuration
Surface Area

If the diameter of a sphere is decreased by 25%, by what percentage does its surface area decrease?

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MathematicsMedium
Mensuration
Surface Area

A metallic sphere of radius 10.5 cm is melted and then recast into small cones, each of radius 3.5 cm and height 3 cm. Find the number of cones.

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MathematicsMedium
Mensuration
Surface Area

Find the total surface area of a hollow cylinder open at both ends, if its length is 12 cm, external radius is 4 cm and thickness is 1 cm.

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