EduSahara™ Practice

Question 1

1.

If the three sides of a triangular prism are 8.00 cm, 12.00 cm, 10.00 cm and L.S.A is 1620.00 sq.cm, its volume is

2413.26 cu.cm
2093.26 cu.cm
2143.26 cu.cm
2273.26 cu.cm
1883.26 cu.cm

Question 2

2.

If the base radius of a cone is 5.00 cm and slant height is 7.81 cm, its vertical height is

4.00 cm
5.00 cm
7.00 cm
8.00 cm
6.00 cm

Question 3

3.

Marbles of diameter 1.60 cm are dropped into a cylindrical beaker containing some water. When they are fully submerged, the water level rises by 16 cm. If the diameter of the beaker is 25.60 cm, find the number of marbles that are dropped in it

3840
3610
3970
3690
3980

Question 4

4.

If the side of a cube is 19.00 cm, its T.S.A is

2406.00 sq.cm
2206.00 sq.cm
1936.00 sq.cm
2166.00 sq.cm
2046.00 sq.cm

Question 5

5.

A solid consisting of a right circular cone, standing on a hemisphere is placed upright, in a right circular cylinder full of water and touches the bottom. The radius of the cylinder is 10.00 cm and height is 22.00 cm. The radius of the hemisphere is 8.00 cm and the height of the cone is 12.00 cm. Find the volume of water left in the cylinder.

5106.95 cu.cm
4856.95 cu.cm
5036.95 cu.cm
5286.95 cu.cm
4976.95 cu.cm

Question 6

6.

A cone of maximum volume is carved out of a cube of edge 12.00 cm. Find the volume of the remaining material after the cone is carved out

1445.43 cu.cm
1155.43 cu.cm
1275.43 cu.cm
1415.43 cu.cm
1145.43 cu.cm

Question 7

7.

From a circular cylinder of diameter 17.00 cm and height 12.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the volume of the remaining solid.