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Surface Area And Volume of A Right Circular Cone Maths - Surface Area And Volume of A Right Circular Cone

Maharashtra Board - STD 9 - Maths (MSBSHSE - English Medium). 42 questions in this chapter.

Question types

Surface Area And Volume of A Right Circular Cone question types

42 questions across 3 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

42
Questions
3
Question groups
5
Question types
Sample Questions

Surface Area And Volume of A Right Circular Cone questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ(1M)1 Mark
The slant height of a cone is increased by $10\%$. If the radius remains the same, the curved surface area is increased by:
  • ✓
    $10\%$
  • B
    $12.1\%$
  • C
    $20\%$
  • D
    $21\%$

Answer: A.

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Q 2MCQ(1M)1 Mark
The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is :
  • A
    $1 : 3$
  • ✓
    $3 : 1$
  • C
    $4 : 3$
  • D
    $3 : 4$

Answer: B.

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Q 3MCQ(1M)1 Mark
If $h, S$ and $V$ denote respectively the height, curved surface area and volume of a right circular cone, then $3\pi\text{V}\text{h}^3-\text{S}^2\text{h}^2+\text{9V}^2$ is equal to:
  • A
    $8$
  • ✓
    $0$
  • C
    $4\pi$
  • D
    $32\pi^2$

Answer: B.

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Q 4MCQ(1M)1 Mark
The height of a solid cone is $12\ cm$ and the area of the circular base is $64\pi\text{cm}^2.$ A plane parallel to the base of the cone cuts through the cone $9\ cm$ above the vertex of the cone, the areas of the base of the new cone so formed is:
  • A
    $9\pi\text{cm}^2$
  • B
    $16\pi\text{cm}^2$
  • C
    $25\pi\text{cm}^2$
  • ✓
    $36\pi\text{cm}^2$

Answer: D.

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Q 5MCQ(1M)1 Mark
A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is:
  • A
    $3: 5$
  • B
    $2: 5$
  • C
    $3: 1$
  • ✓
    $1: 3$

Answer: D.

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Q 123 Mark Question3 Marks
Monica has a piece of Canvas whose area is $551\ m^2$​​​​​​​. She uses it to have a conical tent made, with a base radius of $7\ m$. Assuming that all the stitching margins and wastage incurred while cutting amounts to approximately $1\ m^2​​​​​​​$​​​​​​​. Find the volume of the tent that can be made with it.
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Q 143 Mark Question3 Marks
A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled card board. Each cone has a base diameter of 40 cm and height 1 m . If the outer side of each of the cones is to be painted and the cost of painting is Rs 12 per $m ^2$, what will be the cost of painting all these cones? (Use $\pi=3.14$ and $\sqrt{1.04}=1.02$ )
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