NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.2

NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.2 are part of NCERT Solutions for Class 10 Maths. Here are we have given Chapter 13 Surface Areas and Volumes Class 10 NCERT Solutions Ex 13.2.

BoardCBSE
TextbookNCERT
ClassClass 10
SubjectMaths
ChapterChapter 13
Chapter NameSurface Areas and Volumes
ExerciseEx 13.2
Number of Questions Solved8
CategoryNCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.2

NCERT Solutions for Class 10 Maths

Question 1.
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.

Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes ex 13.2 1s

Question 2.
Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)

Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes ex 13.2 2s

Question 3.
A gulab jamun, contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes ex 13.2 3q

Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes ex 13.2 3s

Question 4.
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 radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes ex 13.2 4q

Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes ex 13.2 4s

Question 5.
A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes ex 13.2 5s

Question 6.
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 8g mass.

Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes ex 13.2 6s

Question 7.
A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes ex 13.2 7s

Question 8.
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, a child finds its volume to be 345 cm3. Check whether she is correct, taking the above as the inside measurements, and π = 3.14.

Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes ex 13.2 8s

 

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