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Surface Area And Volume of Sphere MATHS - Surface Area And Volume of Sphere

Rajasthan Board (RBSE) - STD 9 - MATHS (Rajasthan - English Medium). 78 questions in this chapter.

Question types

Surface Area And Volume of Sphere question types

78 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

78
Questions
5
Question groups
5
Question types
Sample Questions

Surface Area And Volume of Sphere 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
If a solid sphere of radius 10cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball (in sq.cm) is:
  1. $100\pi$
  2. $75\pi$
  3. $60\pi$
  4. $50\pi$
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Q 2M.C.Q1 Mark
A cone, a hemisphere and a cylinder stand on equal bases and have the same height.
The ratio of their volumes is:
  1. 1 : 2 : 3
  2. 2 : 1 : 3
  3. 2 : 3 : 1
  4. 3 : 2 : 1
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Q 3M.C.Q1 Mark
The largest sphere is cut off from a cube of side 6cm. The volume of the sphere will be:
  1. $27\pi\ \text{cm}^2$
  2. $36\pi\ \text{cm}^3$
  3. $108\pi\ \text{cm}^3$
  4. $12\pi\ \text{cm}^3$
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Q 4M.C.Q1 Mark
A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is
  1. $4\pi\text{r}^3$
  2. $\frac{8}{3}\pi\text{r}^3$
  3. $2\pi\text{r}^3$
  4. $8\pi\text{r}^3$
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Q 5M.C.Q1 Mark
The total surface area of a hemisphere of radius r is:
  1. $\pi\text{r}^2$
  2. $2\pi\text{r}^2$
  3. $3\pi\text{r}^2$
  4. $4\pi\text{r}^2$
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Q 112 Marks Questions2 Marks
The hollow sphere, in which the circus motor cyclist performs his stunts, has a diameter of $7m.$ Find the area available to the motorcyclist for riding.
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Q 142 Marks Questions2 Marks
A cylinder of radius $12\ cm$ contains water to a depth of $20\ cm.$ A spherical iron ball is dropped into the cylinder and thus the level of water is raised by $6.75\ cm$. Find the radius of the ball. $\Big($Use $\pi=\frac{22}{7}\Big).$
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Q 163 Marks Question3 Marks
The diameter of a copper sphere is 18cm. The sphere is melted and is drawn into a long wire of uniform circular cross-section. If the length of the wire is 108m, find its diameter.
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Q 183 Marks Question3 Marks
A hemispherical bowl made of brass has inner diameter $10.5\ cm.$ Find the cost of tin plating it on the inside at the rate of $Rs. 4$ per $100\ cm^2$
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Q 193 Marks Question3 Marks
A hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is $17.6\ cm,$ find the cost of painting it, given the cost of painting is $Rs. 5$ per $100\ cm^2$
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Q 203 Marks Question3 Marks
A cylindrical tub of radius 12cm contains water to a depth of 20cm. A spherical form ball is dropped into the tub and thus the level of water is raised by 6.75cm. What is the radius of the ball?
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Q 224 Marks Questions4 Marks
A spherical ball of lead $3\ cm$ in diameter is melted and recast into three spherical balls. If the diameters of two balls be $\frac{3}{2}\ cm$ and $2\ cm,$ find the diameter of the third ball.
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Q 234 Marks Questions4 Marks
A hollow sphere of internal and external radii $2\ cm$ and $4\ cm$ respectively is melted into a cone of base radius $4\ cm$. Find the height and slant height of the cone.
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Q 244 Marks Questions4 Marks
If a hollow sphere of internal and external diameters $4\ cm$ and $8\ cm$ respectively melted into a cone of base diameter $8\ cm,$ then find the height of the cone.
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Q 254 Marks Questions4 Marks
A measuring jar of internal diameter 10cm is partially filled with water. Four equal spherical balls of diameter 2cm each are dropped in it and they sink down in water completely. What will be the change in the level of water in the jar?
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