Question Text
Question 1 :
A sphere and a right circular cylinder of the same radius have equal volumes. By what percentage does the diameter of the cylinder exceed its height ?
Question 2 :
A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of Rs 4989.60. If the cost of white-washing is Rs 20 per square metre, find the inside surface area of the dome.
Question 3 :
State true or false: A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is 1 : 2 : 3.
Question 4 :
State true or false: If the radius of a right circular cone is halved and height is doubled, the volume will remain unchanged.
Question 5 :
State true or false: If the radius of a cylinder is doubled and height is halved, the volume will be doubled.
Question 6 :
A cylindrical tube opened at both the ends is made of iron sheet which is 2 cm thick. If the outer diameter is 16 cm and its length is 100 cm, find how many cubic centimeters of iron has been used in making the tube ?
Question 7 :
If the volume of a right circular cone of height 9 cm is 48 $\pi$ $cm^3$ , find the diameter of its base.
Question 8 :
A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recasted into a sphere. Find the radius of the sphere.
Question 9 :
Curved surface area of a cone is 308 $cm^2$ and its slant height is 14 cm. Find the total surface area of the cone.
Question 10 :
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.