Trying to find the right answer to this..

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Surface Areas and Volumes

Short Answer Type

501. A spherical ball of lead 3 cm in diameter, is melted and recast into three spherical balls. The diameters of two of these balls are 1 cm and 1.5 cm. Find the diameter of the third ball.

363 Views

502. The radius and height of a cylinder are 8 cm and 64 cm respectively, it is recast into a sphere whose volume is

bold 4 over bold 3 bold rd

of the volume of the cylinder. Find the radius of the sphere.

135 Views

503. A right circular cone is 4.6 cm high and the radius of its base is 1.4 cm it is melted and recast into a right circular cone with radius 2.1 cm. Find its height.

131 Views

504. The diameter of a metallic sphere is equal to 9 cm it is melted and drawn into a long wire of diameter 2 mm having uniform cross section. Find the length of the wire.

409 Views

505. A metallic sphere of diameter 3 cm is melted and recast into three spheres. The radius of one of these sphere is 0.75 cm and that of another is 1.25 cm. Determine the radius of the third sphere.

254 Views

506. A well, whose diameter is 7 m, has been dug 22.5 m deep and the earth dug out is used to form an embankment 10.5 m wide around it. Find the height of the embankment.

289 Views

507. A well of diameter 2 m is dug 14 m deep. The earth taken out of it is spread evenly all around it to a width of 5 m to form an embankment. Find the height of the embankment.

127 Views

508. A well of diameter 8 m is dug 14 m deep. The earth taken out of it is spread evently all around a width of 3m to form an embankment. Find the height of the embankment.

77 Views

509. An agricultural field is in the form of rectangle of length 22 m and width 14 m. A 20 m deep well of diameter 14 m is dug in a corner of the field and earth taken out of the well is spread evenly over the remaining part of the field. Find the rise in the level.

Solution not provided.

Ans. 10 m

212 Views

510. A solid sphere of radius r is melted and recast into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 4 cm. Its height 24 cm and thickness 2 cm, find the radius r.

212 Views