Question Text
Question 1 :
Find the capacity in litres of a conical vessel with radius 7 cm, slant height 25 cm .
Question 2 :
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube?
Question 3 :
Find the volume of the right circular cone with radius 6 cm, height 7 cm.
Question 4 :
State true or false: If the edge of the cube is a, then Diagonal of cube = $a\sqrt3$
Question 5 :
Find the volume of a sphere whose radius is 0.63 m.
Question 6 :
Find the radius of a sphere whose surface area is 154 $cm^2$.
Question 7 :
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine the area of the sheet required for making the box.
Question 8 :
A godown measures 40 m × 25 m × 15 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.
Question 9 :
It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per $m^2$ , find inner curved surface area of the vessel.
Question 10 :
Find the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm.