Class 10 Mensuration: Cylinder, Cone and Sphere Mock Test (ICSE)

Topics in Mensuration: Cylinder, Cone and Sphere

• Surface area and volume of a cylinder
• Surface area and volume of a cone
• Surface area and volume of sphere and hemisphere
• Combination of solids
• Conversion of solids

Mensuration: Cylinder, Cone and Sphere practice questions with answers

1. Q1Multiple choice·1 mark
   The curved surface area of a right circular cone of height $12\text{ cm}$ and base radius $5\text{ cm}$ is:

   1. (a)$65\pi\text{ cm}^2$
   2. (b)$130\pi\text{ cm}^2$
   3. (c)$60\pi\text{ cm}^2$
   4. (d)$55\pi\text{ cm}^2$
   Show answer and step marks

   1. Correct option: (a) $65\pi\text{ cm}^2$+1

   Answer: (a)
2. Q2Multiple choice·1 mark
   A metallic sphere of radius $6\text{ cm}$ is melted and recast into a cylinder of radius $4\text{ cm}$. The height of the cylinder is:

   1. (a)$12\text{ cm}$
   2. (b)$24\text{ cm}$
   3. (c)$9\text{ cm}$
   4. (d)$18\text{ cm}$
   Show answer and step marks

   1. Correct option: (d) $18\text{ cm}$+1

   Answer: (d)
3. Q3Multiple choice·1 mark
   If the total surface area of a solid hemisphere is $462\text{ cm}^2$, its radius is (take $\pi = \frac{22}{7}$):

   1. (a)$7\text{ cm}$
   2. (b)$3.5\text{ cm}$
   3. (c)$14\text{ cm}$
   4. (d)$21\text{ cm}$
   Show answer and step marks

   1. Correct option: (a) $7\text{ cm}$+1

   Answer: (a)
4. Q4Multiple choice·1 mark
   If the radius of the base of a right circular cylinder is halved, keeping the height the same, the ratio of the volume of the reduced cylinder to that of the original cylinder is:

   1. (a)$1 : 8$
   2. (b)$1 : 4$
   3. (c)$2 : 1$
   4. (d)$1 : 2$
   Show answer and step marks

   1. Correct option: (b) $1 : 4$+1

   Answer: (b)

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