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

## 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

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 â€˜râ€™ and height â€˜hâ€™.

Q2. If two identical solid cubes of side â€˜xâ€™ are joined end to end, then the total surface area of the resulting cuboid is 12x2. Is it true?

Sol. âˆµ The total surface area of a cube of side x is 6x2
When they are joined end to end, the lenght bcomes 2x
âˆ´Total surface area
= 2[lh + bh + hl]
= 2 [(2x Â· x) + (x Â· x) + (2x Â· x)]
= 2 [2x2 + x2 + 2x2]
= 2 [5x2] = 10x2 â‰  12x2
âˆ´ 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. âˆµ Radius â€˜Râ€™ of original ball

â‡’

And Radius â€˜râ€™ of the new ball

â‡’

â‡’ Radius of the new ball
= Half the radius of original ball.
âˆ´ False

Q4. If a solid cone of base radius â€˜râ€™ and height â€˜hâ€™ is placed over a solid cylinder having same base radius â€˜râ€™ and height - â€˜hâ€™ as that of the cone, then the curved surface area of the shapeis Is it true?

Sol. âˆµ Curved surface area of a cone =

And curved surface area of the cylinder = 2Ï€rh
âˆ´ The curved surface area of the combination  = Ï€r

âˆ´ 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

â‡’ The required ratio = 3 : 1

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## Mathematics (Maths) Class 10

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