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

Jharkhand Board (JAC) - STD 9 - Maths (Jharkhand - English Medium). 95 questions in this chapter.

Question types

Surface Area And Volume of A Right Circular Cone question types

95 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

95
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4
Question groups
5
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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 1M.C.Q1 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 2M.C.Q1 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 3M.C.Q1 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 4M.C.Q1 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 5M.C.Q1 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 Marks Question3 Marks
There are two cones. The curved surface area of one is twice that of the other. The slant height of the later is twice that of the former. Find the ratio of their radii.
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Q 174 Marks Questions4 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 194 Marks Questions4 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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