P-2 Mensuration - Maharashtra Board STD 10 Maths Questions

Q 1M.C.Q (1 Marks)1 Mark

Choose the correct alternative answer for each of the following question.
Find the side of $a$ cube of volume $1 m^3.$
A. $1\ cm$
B. $10\ cm$
C. $100\ cm$
D. $1000\ cm$

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Q 2M.C.Q (1 Marks)1 Mark

Choose the correct alternative answer for each of the following question.
Find the volume of a cube of side $0.01\ cm.$

A
$1 \ cm^3$
B
$0.001 \ cm^3$
C
$0.0001 \ cm^3$
✓
$0.000001 \ cm^3$

Answer: D.

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Q 3M.C.Q (1 Marks)1 Mark

Choose the correct alternative answer for each of the following question.
A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone.
A. 15 cm
B. 10 cm
C. 18 cm
D. 5 cm

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Q 4M.C.Q (1 Marks)1 Mark

Choose the correct alternative answer for each of the following question.
The curved surface area of a cylinder is $440 \mathrm{~cm}^2$ and its radius is $5 \ cm.$ Find its height.

✓
$44 / \pi \mathrm{cm}$
B
$22 \pi \mathrm{cm}$
C
$44 \pi \mathrm{cm}$
D
$22 / \pi \mathrm{cm}$

Answer: A.

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Q 5M.C.Q (1 Marks)1 Mark

Choose the correct alternative answer for each of the following question.
Find the curved surface area of a cone of radius $7 \ cm$ and height $24 \ cm.$

A
$440 \mathrm{~cm}^2$
✓
$550 \mathrm{~cm}^2$
C
$330 \mathrm{~cm}^2$
D
$110 \mathrm{~cm}^2$

Answer: B.

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Q 6Complete the following activities and rewrite it : (2M)2 Marks

The circumferences of circular faces of a frustum are 132 cm and 88 cm and its height is 24 cm. To find the curved surface area of the frustum complete the following activity.$\left(\pi=\frac{22}{7}\right)$

Circumference₁ = 2πr₁ = 132
$r _1=\frac{132}{2 \pi}=$

Circumference₂ = 2πr₂ = 88
$r _2=\frac{88}{2 \pi}=$

Slant height of frustum, $1=\sqrt{h^2+\left(r_1-r_2\right)^2}$

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Q 72 Marks Questions2 Marks

>In figure 7.35, □PQRS is a rectangle. If PQ = 14 cm, QR = 21 cm, find the areas of the parts x, y and z.

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Q 82 Marks Questions2 Marks

>The area of a minor sector of a circle is $3.85 \mathrm{~cm}^2$ and the measure of its central angle is 36°. Find the radius of the circle.

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Q 92 Marks Questions2 Marks

Circumference $_1=2 \pi r_1=132$
$r_1=\frac{132}{2 \pi}=\square$
Circumference $_2=2 \pi \mathrm{r}_2=88$
$r_2=\frac{88}{2 \pi}=\square$
Slant height of frustum, $l=\sqrt{h^2+\left(r_1-r_2\right)^2}$
$=\sqrt{\square \square^2+\square^2}$
$=\square c m$
Curved Surface area of frustum $=\pi\left(r_1+r_2\right)$ l
$=\pi \times \square \times \square$
$=\square \text { sq. } \mathrm{cm}$

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Q 102 Marks Questions2 Marks

The radii of two circular ends of frustum shape bucket are 14 cm and 7 cm. Height of the bucket is 30 cm. How many liters of water it can hold? (1 litre = $1000 \mathrm{~cm}^3$)

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Q 112 Marks Questions2 Marks

In the figure 7.12, a cylindrical wrapper of flat tablets is shown. The radius of a tablet is 7 mm and its thickness is 5 mm. How many such tablets are wrapped in the wrapper?

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Q 123 Marks Question3 Marks

A washing tub in the shape of a frustum of a cone has height 21 cm. The radii of the circular top and bottom are 20 cm and 15 cm respectively. What is the capacity of the tub? $\left(\pi=\frac{22}{7}\right)$

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Q 133 Marks Question3 Marks

In the figure 7.46 , if $O$ is the centre of the circle, $P Q$ is a chord. $\angle POQ =90^{\circ}$, area of shaded region is $114 cm^2$, find the radius of the circle. $(\pi=3.14)$

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Q 143 Marks Question3 Marks

In the figure 7.45, if A is the centre of the circle. ∠ PAR = 30°, AP = 7.5, find the area of the segment PQR. (π = 3.14)

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Q 153 Marks Question3 Marks

In the figure 7.44, O is the centre of the circle. M (arc PQR) = 60° OP = 10 cm.
Find the area of the shaded region. (π = 3.14, √3 = 1.73)

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Q 163 Marks Question3 Marks

In figure 7.43, A is the centre of the circle. ∠ ABC = 45° and AC = 7√2 cm. Find the area of segment BXC.

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Q 174 Marks Questions4 Marks

A chord PQ of a circle with radius 15 cm subtends an angle of 60° with the centre of the circle. Find the area of the minor as well as the major segment. (π = 3.14)

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Q 184 Marks Questions4 Marks

Radius of a circle is 10 cm. Area of a sector of the sector is $100 cm^2$. Find the area of its corresponding major sector. (π = 3.14)

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Q 194 Marks Questions4 Marks

Radius of a sector of a circle is 3.5 cm and length of its arc is 2.2 cm. Find the area of the sector.

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Q 204 Marks Questions4 Marks

Measure of an arc of a circle is 80 cm and its radius is 18 cm. Find the length of the arc. (π = 3.14)

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Q 214 Marks Questions4 Marks

Radius of a circle is 10 cm. Measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. (π = 3.14)

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P-2 Mensuration question types

P-2 Mensuration questions

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P-2 Mensuration Maths - P-2 Mensuration

P-2 Mensuration question types

P-2 Mensuration questions

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