Mensuration - Tamil Nadu Board STD 10 MATHS Questions

A right circular cylinder just encloses a sphere of radius r units. Calculate the surface area of the sphere

A right circular cylinder just encloses a sphere of radius r units. Calculate the ratio of the areas of the sphere and cylinder

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Q 3[1 Mark Questions]1 Mark

If the ratio of radii of two spheres is 4 : 7, find the ratio of their volumes.

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Q 4[1 Mark Questions]1 Mark

The volumes of two cones of same base radius are $3600 cm^3$ and $5040 cm^3$. Find the ratio of heights.

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Q 5[2 Mark Questions]2 Marks

A hemispherical hollow bowl has material of volume cubic $\frac{436 \pi}{3}$ cubic $cm$. Its external diameter is 14 $cm$. Find its thickness

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Q 6[2 Mark Questions]2 Marks

The slant height of a frustum of a cone is 4 m and the perimeter of circular ends is 18 m and 16 m. Find the cost of painting its curved surface area at ₹ 100 per sq. m

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Q 7[2 Mark Questions]2 Marks

A hollow metallic cylinder whose external radius is 4.3 cm and internal radius is 1.1 cm and the whole length is 4 cm is melted and recast into a solid cylinder of 12 cm long. Find the diameter of a solid cylinder

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Q 8[2 Mark Questions]2 Marks

Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r units.

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Q 9[2 Mark Questions]2 Marks

A hemispherical tank of radius 1.75 m is full of water. It is connected with a pipe which empties the tank at the rate of 7 litres per second. How much time will it take to empty the tank completely?

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Q 10[5 Mark Questions]5 Marks

The volume of a cone is $1005 \frac{5}{7}$ cu.cm. The area of its base is $201 \frac{1}{7} sq . cm$. Find the slant height of the cone

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Q 11[5 Mark Questions]5 Marks

Find the number of coins, 1.5 cm in diameter and 2 mm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm

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Q 12[5 Mark Questions]5 Marks

An oil funnel of the tin sheet consists of a cylindrical portion 10 cm long attached to a frustum of a cone. If the total height is 22 cm, the diameter of the cylindrical portion by 8 cm and the diameter of the top of the funnel be 18 cm, then find the area of the tin sheet required to make the funnel.

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Q 13[5 Mark Questions]5 Marks

The barrel of a fountain-pen cylindrical in shape is 7 cm long and 5 mm in diameter. A full barrel of ink in the pen will be used for writing 330 words on an average. How many words can be written using a bottle of ink containing one-fifth of a litre?

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Q 14[5 Mark Questions]5 Marks

A metallic sheet in the form of a sector of a circle of radius 21 cm has a central angle of $216^{\circ}$ The sector is made into a cone by bringing the bounding radii together. Find the volume of the cone formed.

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Q 15Choose the most appropriate answer from the given alternatives and write the option code and the corresponding answer.1 Mark

A solid sphere of radius x cm is melted and cast into a shape of a solid cone of the same radius. The height of the cone is …………

A
3x cm
B
x cm
✓
4x cm
D
2x cm

Answer: C.

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Q 16Choose the most appropriate answer from the given alternatives and write the option code and the corresponding answer.1 Mark

The total surface area of a hemisphere is how many times the square of its radius

A
π
B
4π
✓
3π
D
2π

Answer: C.

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Q 17Choose the most appropriate answer from the given alternatives and write the option code and the corresponding answer.1 Mark

If the radius of the base of a cone is tripled and the height is doubled then the volume is …………..

A
made 6 times
✓
made 18 times
C
made 12 times
D
unchanged

Answer: B.

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Q 18Choose the most appropriate answer from the given alternatives and write the option code and the corresponding answer.1 Mark

In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is ………

A
$5600 \pi \mathrm{cm}^3$
✓
$11200 \pi \mathrm{cm}^3$
C
$56 \pi \mathrm{cm}^3$
D
$3600 \pi \mathrm{cm}^3$

Answer: B.

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Q 19Choose the most appropriate answer from the given alternatives and write the option code and the corresponding answer.1 Mark

The total surface area of a cylinder whose radius is $\frac{1}{3}$ of its height is …….

A
$\frac{9 \pi h ^2}{8}$ sq.units
B
$24 \pi h^2$ sq.units
✓
$\frac{8 \pi h ^2}{9}$ sq.units
D
$\frac{56 \pi h ^2}{9}$ sq.units

Answer: C.

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Mensuration question types

Mensuration questions

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Mensuration MATHS - Mensuration

Mensuration question types

Mensuration questions

Generate a Mensuration paper free