1. Which has a bigger volume, a sphere with radius 2 meters or a pyramid with base 2.5 meters and height of 10 meter?
1. Which has a bigger volume, a sphere with radius 2 meters or a pyramid with base 2.5
meters and height of 10 meter?
2. Calculate the volume of a water cylinder with total height of 10 meters and whose
diameter is 400 centimeters, whose top section is a semi-sphere.
3. Calculate the volume of a cylinder where:
a) the area of the base is 30 cm 2 and the height is 6 cm.
b) the radius of the base is 14 cm and the height is 10 cm.
4. Given the internal radius of the pipe is 2 cm, the external radius is 2.4 cm and the
length of the pipe is 10 cm. Find the volume of the metal used.
5. The surface area of a sphere is 5024 square meters. What is the volume of the
sphere?
6. A cone-shaped roof has a diameter of 12 ft. and a height of 8 ft. If roofing material
comes in 120 square-foot rolls, how many rolls will be needed to cover this roof?
7. The ratio between the curved surface area and the total surface area of a right
circular cylinder is 1 : 2. If the total surface area is 616cm2, then find the volume of the
cylinder?
8. A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the
surface area of the larger cube to that of the sum of the surface areas of the smaller
cubes?
9. A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in the surface
area after cutting?
10. Ram a farmer, managed to grow shaped-watermelons inside glass cases of
different shapes. The shapes he used were: a perfect cube, hemi-spherical, cuboid,
cylindrical along with the normal spherical shaped watermelons. Thickness of the skin
was same for all the shapes. Each of the glass cases was so designed that the total
volume and the weight of the all the water-melons would be equal irrespective of the
shape.
A customer wants to buy water-melon for making juice, for which the skin of the water-
melon has to be peeled off, and therefore is a waste. Which shape should the customer
buy?
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