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Very Short Answer Type Questions- Surface Areas and Volumes Class 10 Notes | EduRev

Mathematics (Maths) Class 10

Class 10 : Very Short Answer Type Questions- Surface Areas and Volumes Class 10 Notes | EduRev

The document Very Short Answer Type Questions- Surface Areas and Volumes Class 10 Notes | EduRev is a part of the Class 10 Course Mathematics (Maths) Class 10.

All you need of Class 10 at this link: Class 10

VERY SHORT ANSWER TYPE QUESTIONS

Q1. A cylinder, a cone and a hemisphere have the same values for r and h. Find the ratio of their volumes.

Sol. Let radius be ‘r’ and height ‘h’.

Very Short Answer Type Questions- Surface Areas and Volumes Class 10 Notes | EduRev

Q2. If two identical solid cubes of side ‘x’ are joined end to end, then the total surface area of the resulting cuboid is 12x2. Is it true?

Sol. ∵ The total surface area of a cube of side x is 6x²
When they are joined end to end, the lenght bcomes 2x
∴Total surface area
= 2[lh + bh + hl]
= 2 [(2x · x) + (x · x) + (2x · x)]
= 2 [2x² + x² + 2x²]
= 2 [5x²] = 10x² ≠ 12x²
∴ False

Q3. A spherical ball is melted to make eight new identical balls. Then the radius of each new ball is 1/8 th of the radius of the original ball. Is it true?

Sol. ∵ Radius ‘R’ of original ball

⇒ Very Short Answer Type Questions- Surface Areas and Volumes Class 10 Notes | EduRev

And Radius ‘r’ of the new ball

⇒ Very Short Answer Type Questions- Surface Areas and Volumes Class 10 Notes | EduRev

Very Short Answer Type Questions- Surface Areas and Volumes Class 10 Notes | EduRev

⇒ Radius of the new ball
= Half the radius of original ball.
∴ False

Q4. If a solid cone of base radius ‘r’ and height ‘h’ is placed over a solid cylinder having same base radius ‘r’ and height - ‘h’ as that of the cone, then the curved surface area of the shapeis Is it true?

Sol. ∵ Curved surface area of a cone = Very Short Answer Type Questions- Surface Areas and Volumes Class 10 Notes | EduRev

And curved surface area of the cylinder = 2πrh
∴ The curved surface area of the combination = πr

∴ True.

Q5. A cylinder and a cone are of the same base radius and same height. Find the ratio of the volumes of the cylinder of that of the cone.

Sol. Let the base radius = r and height = h

Very Short Answer Type Questions- Surface Areas and Volumes Class 10 Notes | EduRev

⇒ The required ratio = 3 : 1

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