Volume - practice problems - page 2 of 121
Volume is always the third power of length. Or volume = area times length. For example, the volume of the cube is a3, and the prism's volume is S*h (the area of the base times the height). The volume of rotating bodies (sphere, cone) can be derived in high school by integration. The pyramid's volume is always 1/3 of the prism's volume. We calculate the volume of the truncated bodies either with a formula or simply by subtracting the volumes of the two bodies.Number of problems found: 2418
- Full-tank
A full-tank of petrol a car lasts for 10 days. If driver starts using 25% more everyday, how many days will the full-tank petrol last? - The dimensions
The dimensions of a rectangular piece of paper are 22 cm × 14 cm. It is rolled once across the breadth and once across the length to form right circular cylinders of biggest possible surface area. Find the difference in volumes of the two cylinders that w - Spheres to cone
Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed. - Ones cube
Find the volume of a cube whose total surface area is 6 m².
- A random 2
A random sample of 40 families has an average water consumption of 29 cubic meters per month, with a sample standard deviation of 8 cubic meters. Give the 90% confidence interval for the mean usage of water per month. - A tank 2
A tank can be filled by a pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. If the tank is initially empty and all three pipes are open, how many hours will it take to fill up the tank? - A bottle 3
A bottle of water contains 16.9 ounces. How many total ounces are there in 24 bottles? - The petrol tank
Tinny's car's petrol tank was full. He drove around the city and used 1/4 of the petrol. What fraction of the petrol was left? - Full tank 2 Robert has a full tank of petrol. He drove to Manly and used 1/8 of a tank and then to Gosford using another 4/8 of a tank. What fraction of a tank of petrol has he used?
- The cuboid 2
If the areas of three adjacent faces of a cuboid are 6,10,22 respectively then find the volume of the cuboid. - The frustum
A frustum of a pyramid is 4 cm at the top and 7 cm at the bottom square, and it's 6 cm high. Calculate the volume of the frustum. - A swimming 2
A swimming pool had 2.5 million liters of water in it. Some water evaporated, and then the pool only had 2 million liters of water in it. What percent of the water evaporated? - Milk mixture
In a container, milk and water are 7:5. If 15 L water is added, the ratio becomes 7:8. Find the quantity of water in the new mixture. - Two pipes 3
Two pipes, A and B, can fill a tank in 15 minutes and 20 minutes, respectively. Both pipes are opened together. After 4 minutes, pipe A is turned off.What is the total time required to fill the tank?
- A conical
A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent. - Milk with water How many liters of water are to be mixed in 12 liters of milk costing Rs 40 per liter so that it can be sold at Rs 32 per liter?
- Melting 3 cubes The sides of the three metal cubes are 30 cm, 40 cm, and 50 cm, respectively. Find the side of the new cube formed by melting these cubes together.
- Water tank 12 A rectangular water tank is 5 m high, 3 m long, and 2 m wide. How many liters of water can it hold?
- Cylinders and cube
How many cylinders of radius 20 cms and height 0.7 metres can be formed by melting a cube of 2.2 metres sides?
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