You can easily get NCERT Solutions for Class 10 Maths Pdf from the Entrancei. They provide quick links to download NCERT Solutions in PDF for Maths which can help you to prepare for your exams and get high marks in the subject.. To download, click: https://www.entrancei.com/cbse-sample-paper-class-10-maths

1. If you are looking NCERT Solutions for Class 10 Maths error free and prepared by experienced mentors. Don’t
WORRY!! Here we are providing Free PDF you can get easy with a single click.
HURRY!! Visit our portal and get your NCERT Solutions UPDATED 2021-22. These all very essential for your exam
preparation
FORMULAE
1. Cuboid
i. Volume = l × b × h
ii. Area of 4 walls = 2h (l + b)
iii. Total surface Area(T.S.A) = 2(lb + bh +
lh)
iv. Longest Diagonal = √𝑙2+𝑏2+ℎ2
4.Right Circular Cone. r-radius, h-vertical height,
l-slant height
i. V=
1
3
𝜋𝑟2
h
ii. C.S.A = 𝜋rl
iii. T.S.A = 𝜋r(r + l)
iv. 𝑙2
= 𝑟2
+ℎ2
2. Cube. l=b=h=a(say)
i. Volume = 𝑎3
ii. T.S.A = 6𝑎2
iii. Diagonal = √3 a
5.Sphere
i. V =
4
3
𝜋𝑟3
ii. S.A. or T.S.A. = 4𝜋𝑟2
3. Right Circular Cylinder.
i.V =𝜋𝑟2
h
ii. Curved Surface Area or Lateral Surface
Area = 2 𝜋rh
iii.T.S.A = = 2 𝜋r(h + r)
6.Hemisphere
i. V =
2
3
𝜋𝑟3
ii. C.S.A = 2𝜋𝑟2
iii. T.S.A =3 𝜋𝑟2
QUESTIONS
1. If the number of square centimetres on the surface of a sphere is equal to the number of cubic
centimetres in its volume, what is the diameter of the sphere?
2. From a solid cylinder whose height is 8 cm and radius is 6 cm, a conical cavity of height 8 cm and base
radius 6 cm is hollowed out. Find the volume of remaining solid. ( Take 𝜋=
22
7
)
3. A cylindrical cistern whose radius is 7 cm is partly filled with water. If a conical block of iron whose
radius of base is 3.5 cm and height is 6 cm is wholly immersed in the water, by how much will the water
level rise? (Take 𝜋=
22
7
)
4. A solid right circular cone of height 20 cm and base radius 15 cm is melted and casted into smaller cones
of equal sizes with height 5 cm and base radius 1.5 cm. Find how many cones are made?
5. A vessel in the form of a cuboid contains some water. If three identical spheres are immersed in water,
the level of water is increased by 2 cm. If the area of the base of cuboid is 160 sq.cm. and height is 12
cm, determine the radius of the spheres.
6. A cone of height 15 cm and diameter 7 cm is mounted on a hemisphere of same diameter. Determine the
volume of the solid thus formed.
7. A cylinder container is filled with ice-cream, whose diameter is 12 cm and height is 15 cm. The whole
icecream is distributed to 10 children in equal cones having hemispherical tops. If the height of conical
portion is twice the diameter of its base, find the diameter of the icecream cone.

2. If you are looking NCERT Solutions for Class 10 Maths error free and prepared by experienced mentors. Don’t
WORRY!! Here we are providing Free PDF you can get easy with a single click.
HURRY!! Visit our portal and get your NCERT Solutions UPDATED 2021-22. These all very essential for your exam
preparation
8. A girl fills a cylindrical bucket 32 cm in height and 18 cm in radius with sand. She empties the bucket on
the ground and makes a conical heap of the sand. If the height of the conical heap is 24 cm, find: a) its
radius and b) its slant height. (Leave your answer in square root form).
9. A hollow metallic cylindrical tube has an internal radius of 3 cm and height 21 cm. The thickness of the
metal of the tube is ½ cm. The tube is melted and casted into a right circular cone of height 7 cm. Find
the radius of the cone correct to one decimal place.
10. From a rectangular solid of metal 42 cm × 30 cm × 22 cm, a conical cavity of base radius 14 cm and
height 22 cm is drilled out. Find :
a) the surface area of the remaining solid,
b) the volume of the remaining solid,
c) the weight of the material drilled out if it weighs 7 gm per 𝑐𝑚3
.
11. A tent is in the form of a right circular cylinder up to height of 3 m and then becomes a right circular
cone with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner surface
of the tent at the rate of Rs. 4 per sq.m, if the radius of the base is 14 m.
12. A building is the form of a cylinder surmounted by a hemispherical vaulted dome and contains
41
19
21
𝑚3
of air. If the internal diameter of the building is equal to its total height above the floor, find the
height of the building. ( Take 𝜋=
22
7
)
ANSWERS
1) d = 6 cm 2) 603.4 𝑐𝑚3
3) 0.5 cm 4) 400 5)2.94 cm 6)282.33 𝑐𝑚3
7) 6 cm
8) a) 36 cm b) 43.26 cm 9)5.4 cm 10)a) 6219.52𝑐𝑚2
b) 23202.67 𝑐𝑚3
c) 31.621 kg
11) Rs. 4,136 12)2 m