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

481. Find the number of coins 1.5 cm in diameter and 0.2 cm thick to be melted to form a right circular cylinder whose height is 8 cm and diameter 6 cm.

727 Views

482. Spherical marbles of diameter 1.4 cm each are dropped in a cylindrical beaker of radius 3.5 cm containing some water. Find the number of marbles that should be dropped into the beaker so that the water level in the beaker rises by 5.6 cm.

814 Views

483. The radius of a conical solid is melted and recaste into a number of cylindrical solids if the radius of the cone is three times the radius of the cylinder and the height of the cone is four times the height of the cylinder, find the number of cylindrical solids.

Let R cm be the radius and H cm be the height of cone.
And r cm be the radius and h cm be the height of a cylinder, then
R = 3r
and H = 4h
Now,

Volume of cone = $1 third space πR squared straight H$
and Volume of cylinder = π r²h Therefore,
The number of cylindrical solids

$equals space fraction numerator Volume space of space cone over denominator Volume space of space one space cylinder end fraction equals space fraction numerator begin display style 1 third end style πR squared straight H over denominator πr squared straight h end fraction equals space fraction numerator begin display style 1 third end style straight pi left parenthesis 3 straight r right parenthesis squared left parenthesis 4 straight h right parenthesis over denominator πr squared straight h end fraction equals space fraction numerator begin display style 1 third end style straight pi space straight x space 9 straight r squared straight x 4 straight h over denominator πr squared straight h end fraction equals space 12$

105 Views

484. Water flows at the rate of 10 m per minute through a cylindrical pipe having its diameter as 5 mm. How much time will it take to fill a conical vessel whose diameter of the base is 40 cm and depth 24 cm.

242 Views

485. Water is flowing at the rate of 0.70 m/sec through a circular pipe, whose internal diameter is 2 cm into a cylindrical tank the radius of whose base is 40 cm. Determine the increase in the water level in 1/2 hour.

111 Views

486. Water in a canal 30 dm wide and 12 dm deep, is flowing velocity of 10 km/hr. How much area will it irrigate if 8 cm of standing water is required for irrigation?

350 Views

487. A hemispherical tank full of water is emptied by a pipe at the rate of litres per second. How much time will it take to half empty the tank, if the tank is 3 m in diameter.

874 Views

488. Water is flowing at the rate of 5 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Determine the time in which the level of water in the tank will rise by 7 cm.

287 Views

489. Water is flowing at the rate of 3 km/ hr through a circular pipe of 20 cm external diameter into a circular cistern of diameter 10m and depth 2 m. In how much time will the cistern be filled.

1195 Views

490. An iron solid sphere of radius 3 cm is melted and recast into small spherical balls of radius 1 cm each. Assuming that there is no wastage in the process, find the number of small spherical balls made from the given sphere.

1170 Views