**Samacheer Kalvi 10th Maths Book Back Solution:**

Tamil Nadu 10th Maths Book Back Answers **Unit 7 – Mensuration **Ex 7.2 are provided on this page. Samacheer Kalvi Maths Book Back Solutions/ Guide available for all Units. TN Samacheer Kalvi 10th Maths Book consists of 8 Units and each unit book back solutions given below topics wise with Questions and Answers. The complete Samacheer Kalvi Books Back Answers/Solutions are available on our site.

The Samacheer kalvi 10th Maths solutions are useful to enhance your skills. Candidates who prepared for the Competitive and board exams 10th Maths Book Back Answers in English and Tamil Medium. The 10th Maths Unit 7 Mensuration consist of 5 units. Each Unit Book Back Answers provide topic-wise on this page. 10th Maths Book Back Answers are prepared according to the latest syllabus. The 10th Maths Book Back Relations and Functions Ex 7.2 Answers in English.

**10th Maths Book Back Answers/Solutions:**

TN Samacheer Kalvi 10th Maths Chapter 7 Book Back Exercise given below. The 10th Maths Book Back Solutions Guide is uploaded below:

**Chapter 7**

**Exercise 7.2 Mensuration**

1. A 14 m deep well with an inner diameter 10 m is dug and the earth taken out is evenly spread all around the well to form an embankment of width of 5 m. Find the height of the embankment.

**Solution:**

Inner diameter = 10 m

Inner radius = 5 m

Inner height = 14 m

Volume of the cylinder = πr^{2}h cubic units

=227×5×5×14

= 1100 m^{3}

Volume of the hollow = n(R^{2} – r^{2})h cubic units

R = 10 m

r = 5 m

⇒227×(102−52)h=1100m3

(∵ the earth taken out = the earth spread all around)

2. A cylindrical glass with a diameter of 20 cm has water to a height of 9 cm. A small cylindrical metal of a radius of 5 cm and height of 4 cm is immersed it completely. Calculate the raise of the water in the glass?

**Solution:**

The volume of the water raised = the Volume of the cylindrical metal.

∴ The height of the raised water in the glass = 1 cm.

3. If the circumference of a conical wooden piece is 484 cm then find its volume when its height is 105 cm.

**Solution:**

Circumference of the base of the cone = 484 cm

height = 105 cm

∴ 2πr = 484

4.A conical container is fully filled with petrol. The radius is 10m and the height is 15 m. If the container can release the petrol through its bottom at the rate of 25 cu. meter per minute, in how many minutes the container will be emptied. Round off your answer to the nearest minute.

**Solution:
**Volume of the cone = 13πr2h cu. units.

5. A right-angled triangle whose sides are 6 cm, 8 cm, and 10 cm is revolved around the sides containing the right angle in two ways. Find the difference in volumes of the two solids so formed.

**Solution:
**When the triangle ABC is rotated about AB, the

6. The volumes of two cones of the same base radius are 3600 cm^{3} and 5040 cm^{3}. Find the ratio of heights.

**Solution:**

7.If the ratio of radii of two spheres is 4 : 7, find the ratio of their volumes.

**Solution:**

8.A solid sphere and a solid hemisphere have equal total surface area. Prove that the ratio of their volume is 33–√:4

**Solution:**

9. The outer and the inner surface areas of a spherical copper shell are 576π cm^{2} and 324π cm^{2} respectively. Find the volume of the material required to make the shell.

**Solution:**

10. A container open at the top is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends are 8 cm and 20 cm respectively. Find the cost of milk which can completely fill a container at the rate of ₹ 40 per litre.

**Solution:
**The volume of the frustum

**Other Important Links for 10th Maths Book Back Answers/Solutions:**

Click Here for Complete Samacheer Kalvi 10th Book Back Solution Guide PDF – **Samacheer Kalvi 10th std Maths Book Back Answers**