Volume And Surface Area
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- Sphere Formulas
| Diameter of sphere | 2r |
| Surface area of sphere | 4 π r2 |
| Volume of Sphere | 4/3 π r3 |
- Cylinder Formulas
| Curved surface area of Cylinder | 2 πrh |
| Area of two circular bases | 2 πr2 |
| Total surface area of Cylinder | Circumference of Cylinder + Curved surface area of Cylinder = 2 πrh + 2 πr2 |
| Volume of Cylinder | π r2 h |
- Cone Formulas
| Slant height of cone | l = √(r2 + h2) |
| Curved surface area of cone | πrl |
| Total surface area of cone | πr (l + r) |
| Volume of cone | ⅓ π r2 h |
- Cuboid Formulas
| Perimeter of cuboid | 4(l + b +h) |
| Length of the longest diagonal of a cuboid | √(l2 + b2 + h2) |
| Total surface area of cuboid | 2(l×b + b×h + l×h) |
| Volume of Cuboid | l × b × h |
1 If the volume and surface area of a sphere are numerically the same, then it's radius is :
2 The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side
3 A cuboid of dimension 24cm×9cm×8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ?
4 By what percent the volume of a cube increases if the length of each edge was increased by 50%
5 Each side of a cube is decreased by 25%. Find the ratio of the volume of the original cube and the resulting cube = ?
6 If the total surface area of a cube is 6 sq unit's, then what is the volume of the cube?
7 The whole surface area of a rectangular block is 8788 sq cm. If length, breadth and height are in the ratio of 4 : 3 : 2, then find the length:
8 Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high:
