Mathematics Standard 10>Chapter 7 - Mensuration>Unit Exercise>Q 3

MEDIUM

10th Tamil Nadu Board

IMPORTANT

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If the maximum volume of a cone that can be carved out of a solid hemisphere of radius $r$ is $\frac{1}{3} {πr}^{k}$ , find the value of $k$ .

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Important Questions on Mensuration

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Unit Exercise>Q 4

An oil funnel of 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 be

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.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Unit Exercise>Q 5

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

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Unit Exercise>Q 6

A hollow metallic cylinder whose external radius is

4.3 cm

and internal radius is

1.1 cm

and whole length is

4 cm

is melted and recast into a solid cylinder of

12 cm

long. Find the diameter of solid cylinder.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Unit Exercise>Q 7

The slant height of a frustum of a cone is

4 m

and the perimeter of circular ends are

18 m

and

16 m

. If the cost of painting its curved surface area at

₹ 100 per sq . m

is

₹ A

then find the value of

A

(Take

π = \frac{22}{7}

)

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Unit Exercise>Q 8

A hemispherical hollow bowl has a material of volume

\frac{436 π}{3} {cm}^{3}

. Its external diameter is

14 cm .

Find its thickness.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Unit Exercise>Q 9

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.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Unit Exercise>Q 10

A metallic sheet in the form of a sector of a circle of radius

21 cm

has a central angle of

216 °

. The sector is made into a cone by bringing the bounding radii together. If the volume of the cone is

k {cm}^{2}

rounded off to two decimal places, find the value of

k

. (Take

π = \frac{22}{7}

)

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Solved Example>Q 1

A cylindrical drum has a height of

20 cm

and base radius of

14 cm

. Find its curved surface area and the total surface area.