Surface Area & Volume Chapter Boards Questions Class 10 CBSE
Here we provide Class 10 Maths important notes,board questions and predicted questions with Answers for chapter Surface Area & Volume. These important notes,board questions and predicted questions are based on CBSE board curriculum and correspond to the most recent Class 10 Maths syllabus. By practising these Class 10 materials, students will be able to quickly review all of the ideas covered in the chapter and prepare for the Class 10 Board examinations.
2016
Q1
In fig. 5, a tent is in the shape of a cylinder surmounted by a conical top of same diameter. If the
height and diameter of cylindrical part are 2.1 m and 3 m respectively and the slant height of
conical part is 2.8 m, find the cost of canvas needed to make the tent if the canvas is available at
the rate of
Rs 500 sq/metre. (Use π = 22/7)
solutions
solutions
Q2
A conical vessel, with base radius 5 cm and height 24 cm, is full of water. This water is emptied
into a cylindrical vessel of base radius 10 cm. Find the height
to which the water will rise in the cylindrical vessel. (Use π = 22/7)
solutions
solutions
Q3
A sphere of diameter 12 cm, is dropped in a right circular cylindrical vessel, partly filled with
water. If the sphere is completely submerged in water, the water level in the cylindrical vessel
rises by 3
solutions
5
/
9
cm. Find the diameter of the
cylindrical vessel.
solutions
Q4
Due to heavy floods in a state, thousands were rendered homeless. 50 schools collectively offered to
the state government to provide place and the canvas for 1500 tents to be fixed by the government
and decided to share the whole expenditure equally. The lower part of each tent is cylindrical of
base radius 2.8 m and height 3.5 m, with conical upper part of same base radius but of height 2.1 m.
If the canvas used to make the tents costs Rs 120 per sq.m, find the amount shared by each school to
set up the tents. What value is generated
by the above problem ? (Use π = 22/7)
solutions
solutions
2017
Q5
(A) Water in a canal, 5.4 m wide and 1.8 m deep, is flowing with a speed of 25 km/hour. How much
area can it irrigate in 40 minutes, if 10 cm of standing water is required for irrigation ?
OR
(B) The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.
solutions
(B) The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.
solutions
Q6
The dimensions of a solid iron cuboid are 4.4 m x 2.6 m x 1.0 m. It is melted and recast into a
hollow cylindrical pipe of 30 cm inner radius and thickness 5 cm. Find the length of the pipe.
solutions
solutions
Q7
In a rain-water harvesting system, the rain-water from a roof of 22 m x 20 m drains into a
cylindrical tank having diameter of base 2 m and height 3.5 m. If the tank is full, find the
rainfall in cm. Write your views on water conservation.
solutions
solutions
2018
Q8
(A) A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as
shown in Fig. 3. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm. Find the
total surface area of the article.
OR
(B) A heap of rice is in the form of a cone of base diameter 24 m and height 3.5 m. Find the volume
of the rice. How much canvas cloth is required to just cover the heap ?
solutions
solutions
Q9
The diameters of the lower and upper ends of a bucket in the form of a frustum of a cone are 10 cm
and 30 cm respectively. If its height is 24 cm, find :
(i) The area of the metal sheet used to make the bucket.
solutions
(i) The area of the metal sheet used to make the bucket.
solutions
2019
Q10
A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 20 cm
and the diameter of the cylinder is 7 cm. Find the total volume of the solid. (Use π = 22/7 )
solutions
solutions
Q11
A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is
surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given
that 1 cm3 of iron has approximately 8 gm mass. (Use π = 3.14)
solutions
solutions
2020
Q12
Two cones have their heights in the ratio 1:3 and radii in the ratio 3:1. What is the ratio of their
volumes?
solutions
solutions
Q13
A solid metallic cuboid of dimension 24 cm x 11 cm x 7 cm is melted and
recast into solid cones of base radius 3.5 cm and height 6 cm. Find the
number of cones so formed.
solutions
solutions
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