(a) 2 : 3
(b) 3 : 2
(c) 1 : 1
(d) 2 : 1
Q2. Find the ratio among the volume of a cylinder, a cone and a sphere that have same diameters and same heights.
(a) 3 : 1 : 2
(b) 3 : 2 : 1
(c) 1 : 2 : 3
(d) 2 : 1 : 3
Q3. A cuboid is 20 m long, 14 m wide and 28 m high. Find the surface area of a greatest sphere which can be set completely and gently in the cuboid.
(a) 308 m²
(b) 924 m²
(c) 616 m²
(d) 1232 m²
Q4. Find the curved surface area of a frustum, having radii 7 cm and 14 cm respectively and slant height 8 cm.
(a) 428 cm²
(b) 535 cm²
(c) 628 cm²
(d) 528 cm²
Q5. Find the width of a roller which traverses 128 km while cutting 6.4 hectares of grass.
(a) 50 cm
(b) 100 cm
(c) 75 cm
(d) 25 cm
Q6. A brick measures 20 cm by 10 cm by 7(1/2) cm. How many bricks will be required for a wall 25 m long, 2 m high and 3/4 m thick?
(a) 2000
(b) 25000
(c) 20000
(d) 2500
Q7. A hollow cylindrical tube that is open at both ends is made of iron 2 cm thick. If the external diameter be 50 cm and the length of the tube be 140 cm, find the number of cubic cm of iron in it.
(a) 2212 cm³
(b) 21220 cm³
(c) 42240 cm³
(d) 44240 cm³
Q8. A frustum of a right circular cone has a diameter of base 10 cm, of top 6 cm and a height of 5 cm; find the area of its whole surface and volume.
(a) 242.25 cm², 256 (2/3) cm³
(b) 282.25 cm², 256 (2/3) cm³
(c) 242.25 cm², 286 (2/3) cm³
(d) 282.25 cm², 286 (2/3) cm³
Q9. Ratio of the volume of a cylinder with radius R and height H to the volume of a cylinder with radius H and height R is
(a) H/R
(b) H/πR
(c) R/H
(d) πR/H
Q10. The area of the base of a rectangular tank is 6500 cm² and the volume of water contained in it is 2.6 cubic metres. The depth of the water in the tank is
(a) 2.5 m
(b) 3 m
(c) 5.5 m
(d) 4 m
Q11. Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank, the radius of whose base is 60 cm. By how much will the level of water rise in 30 minutes?
(a) 2 m
(b) 3 m
(c) 4 m
(d) 5 m
Q12. A field is 500 m long and 30 m broad. A rectangular well 30 m long 20 m broad and 12 m deep is dug in the field and then the earth is taken out of it and spread out of it equally over the field. How much does the level of field rise?
(a) 50 cm
(b) 100 cm
(c) 80 cm
(d) 60 cm
Q13. A rectangle piece of paper is 44 cm long and 10 cm wide. A cylinder is formed by rolling the paper along its length. Find the volume of cylinder.
(a) 350 cm
(b) 161 cm
(c) 1540 cm
(d) None of these
Q14. If three equal cubes are placed adjacently in a row, the ratio of the total surface of the new cuboid to that of the sum of the surface areas of the three cubes will be
(a) 5 : 9
(b) 1 : 3
(c) 2 : 3
(d) 7 : 9
Q15. The radius of the base of conical tent is 6 m and height is 8 m. What is area of the canvas that is required for this tent.
(a) 90 π m²
(b) 40 π m²
(c) 120 π m²
(d) 60 π m²
