Class 10 Exam > Class 10 Notes > Mathematics (Maths) Class 10 > Worksheet: Surface Areas & Volume
Surface Area and Volume Class 10 Worksheet Maths
Multiple Choice Questions
Q1: A bucket is in the form of a frustum of a cone ad holds 28.490 liters of water. The radii of the top and bottom are 28cm and 21cm respectively. Find the height of the bucket.
(a) 20 cm
(b) 15 cm
(c) 10 cm
(d) None of the above
Q2: Lead spheres of diameter 6cm are dropped into a cylindrical beaker containing some water and are fully submerged. If the diameter of the beaker is 18cm and water rises by 40cm. find the no. of lead sphere dropped in the water.
(a) 90
(b) 150
(c) 100
(d) 80
Short Answer Questions
Q3: A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Show that their volumes are in the ratio 1: 2: 3.
Q4: Prove that the surface area of a sphere is equal to the curved surface area of the circumscribed cylinder.
Q5: 500 persons are taking a dip into a cuboidal pond which is 80 m long and 50 m broad. What is the rise of water level in the pond, if the average displacement of the water by a person is 0.04m3?
Q6: The radii of the basses of two right circular solid cones of same height are r1 and r2 respectively. The cones are melted and recast into a solid sphere of radius R. Show that the height of each cone is given by
Q7: The slant height of the frustum of a cone is 4cm, and the perimeter of its circular bases is 18cm and 6cm respectively. Find the curved surface area of the frustum ?
Q8: A bucket of height 8cm and made up of copper sheet is in the form of frustum of a right circular cone with radii of its lower and upper ends as 3cm and 9m respectively.
Calculate –
(a) the height of cone of which the bucket is a part.
(b) the volume of water which can be filled in the bucket.
(c) the area of copper shut required to make the bucket.
You can access the solutions to this worksheet here.
The document Surface Area and Volume Class 10 Worksheet Maths is a part of the Class 10 Course Mathematics (Maths) Class 10.
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FAQs on Surface Area and Volume Class 10 Worksheet Maths
| 1. What are the formulas for calculating the surface area and volume of a cube? |  |
Ans. The surface area of a cube is calculated using the formula \(6a^2\), where \(a\) is the length of a side of the cube. The volume of a cube is calculated using the formula \(a^3\).
| 2. How do you find the surface area and volume of a cylinder? | |
Ans. The surface area of a cylinder can be found using the formula \(2\pi r(h + r)\), where \(r\) is the radius and \(h\) is the height. The volume of a cylinder is calculated using the formula \(\pi r^2 h\).
| 3. What is the difference between surface area and volume? | |
Ans. Surface area refers to the total area that the surface of a three-dimensional object occupies, while volume refers to the amount of space that the object occupies. Surface area is measured in square units, while volume is measured in cubic units.
| 4. How do you calculate the surface area and volume of a sphere? | |
Ans. The surface area of a sphere is calculated using the formula \(4\pi r^2\), where \(r\) is the radius. The volume of a sphere is calculated using the formula \(\frac{4}{3}\pi r^3\).
| 5. Can you explain how to find the surface area and volume of a cone? | |
Ans. The surface area of a cone is calculated using the formula \(\pi r(l + r)\), where \(r\) is the radius and \(l\) is the slant height. The volume of a cone is calculated using the formula \(\frac{1}{3}\pi r^2 h\), where \(h\) is the height of the cone.
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Dec 23, 2024 Last updated |
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