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Heron's formula Worksheets

1.

Volume of a solid sphere is . Find its radius.

2.

A well of 2m diameter is dug 14 m deep on the ground. Find the volume of earth taken out.

3.

Curved surface area of a cone is thrice and curved surface area of the other. Slant height of

second cone is thrice the slant height of first. Find ratio of their radii.

4.

60 circular plates of equal radius are placed on each other to form a cylinder. Find height of cylinder if thickness of each plate if 3/4 cm.

5.

If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of second sphere?

6.

A semi circular sheet of metal of diameter 28 cm is bent into an open conical cup. Find the depth and capacity of cup.

7.

A hollow cylindrical pipe is 210 cm long. Its outer and inner diameters are 10 cm and 6 cm respectively. Find the volume of the copper used in making the pipe.

8.

Three cubes of each side 4 cm are joining end to end. Find the surface area of resulting cuboid.

9.

Water in a canal, 30 dm wide and 12 dm deep is flowing with a velocity of 20 km per hour. How much area will it irrigate in 30 min. if 9 cm of standing water is desired? (10 dm = 1 meter)

10.

A metallic sheet is of the rectangular shape with dimensions 48 cm X 36 cm. From each one of its corners, a square of 8 cm is cutoff. An open box is made of the remaining sheet. Find the volume of the box.

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