Surface Area & Volume Chapter Important Questions Class 10 CBSE
Here we provide Class 10 Maths important notes,board questions and predicted questions with Answers for chapterSurface 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.
Q1
Rahul, an engineering student, prepared a model shaped like a cylinder with two cones attached at
its two ends. The diameter of the model is 3 cm and its length is 12 cm. If each conical part has a
height of 2 cm, find the (i) volume of air contained in Rahul's model (assume the outer and inner
dimensions of the model to be nearly the same), (ii) cost of painting the outer surface of the model
at Rs 12.50 per cm2.
solutions
solutions
Q2
A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the
spherical part is 8.5 cm. By measuring the amount of water it holds, Radhika finds its volume to be
345 cm3 Check mathematically whether she is correct, taking the above as the inside
measurements and π = 3.14.
solutions
solutions
Q3
A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The
dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The diameter of each of the depressions is 1
cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.
solutions
solutions
Q4
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown
in the figure. If the height of the cylinder is 12 cm and its base is of radius 4.2 cm, find the
total surface area of the article. Also, find the volume of the wood left in the article.
solutions
solutions
Q5
A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the entire rocket
is 26 cm, while the height of the conical part is 6 cm. The base of the conical portion has a
diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion
is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with
each of these colours.
solutions
solutions
Q6
A solid toy is in the form of a hemisphere surmounted by a right circular cone of height 2 cm and
diameter of base 4 cm. If a right circular cylinder circumscribes the toy, find how much more space
than the toy it will cover. [Use π = 3.14.]
solutions
solutions
Q7
A solid iron rectangular block of dimensions 4.4 m , 2.6 m and 1 m is cast into a hollow cylindrical
pipe of internal radius 30 an and thickness 5 cm. Find the length of the pipe.
solutions
solutions
Q8
A well of diameter 4 m is dug 14 m deep. The earth taken out of it is spread evenly all around the
well to form a 40-cm-high embankment. Find the width of the embankment.
solutions
solutions
Q9
From each end of a solid metal cylinder, metal was scooped out in hemispherical form of same
diameter. The height of the cylinder is 10 cm and its base is of radius 4.2 cm. The rest of the
cylinder is melted and converted into a cylindrical wire of 1.4 cm thickness. Find the length of the
wire.
solutions
solutions
Q10
A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm and diameter 10 cm,
so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming
the density of copper to be 8.88 g per cm3. [Use π = 3.14.]
solutions
solutions
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