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.

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**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 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 6x^{2}

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 [2x^{2} + x^{2} + 2x^{2}]

= 2 [5x^{2}] = 10x^{2} â‰ 12x^{2}

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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