{"id":585695,"date":"2022-03-16T11:15:23","date_gmt":"2022-03-16T11:15:23","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=585695"},"modified":"2022-03-19T04:25:08","modified_gmt":"2022-03-19T04:25:08","slug":"maharashtra-board-solutions-class-8-maths-practice-set-16-3-chapter-16-surface-area-and-volume","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-8-maths-practice-set-16-3-chapter-16-surface-area-and-volume\/","title":{"rendered":"Maharashtra Board Solutions Class 8-Maths (Practice Set 16.3): Chapter 16- Surface Area and Volume"},"content":{"rendered":"\n

Class 8: Maths Chapter 16 solutions. Complete Class 8 Maths Chapter 16 Notes.<\/p>\n\n\n\n

Maharashtra Board Solutions Class 8-Maths (Practice Set 16.3): Chapter 16- Surface Area and Volume<\/h2>\n\n\n\n

Maharashtra Board 8th Maths Chapter 16, Class 8 Maths Chapter 16 solutions<\/p>\n\n\n\n

Question 1.
Find the volume of the cylinder if height (h) and radius of the base (r) are as given below.<\/strong>
i. r = 10.5 cm, h = 8 cm
ii. r = 2.5 m, h = 7 m
iii. r = 4.2 cm, h = 5 cm
iv. r = 5.6 cm, h = 5 cm
Solution:
<\/strong>i. Given: r = 10.5 cm and h = 8 cm
To find: Volume of the cylinder
Volume of the cylinder = \u03c0r\u00b2h
= \\frac { 22 }{ 7 }227 x 10.5 x 10.5 x 8
= 22 x 1.5 x 10.5 x 8
= 2772 cc
\u2234 The volume of the cylinder is 2772 cc.<\/p>\n\n\n\n

ii. Given: r = 2.5 m and h = 7 m
To find: Volume of the cylinder
Volume of the cylinder = \u03c0r\u00b2h
= \\frac { 22 }{ 7 }227 x 2.5 x 2.5 x 7
= 22 x 2.5 x 2.5
= 137.5 cu.m
\u2234 The volume of the cylinder is 137.5 cu.m.<\/p>\n\n\n\n

iii. Given: r = 4.2 cm and h = 5 cm
To find: Volume of the cylinder
Volume of the cylinder = \u03c0r\u00b2h
= \\frac { 22 }{ 7 }227 x 4.2 x 4.2 x 5
= 22 x 0.6 x 4.2 x 5
= 277.2 cc
\u2234 The volume of the cylinder is 277.2 cc.<\/p>\n\n\n\n

iv. Given: r = 5.6 cm and h = 5 cm
To find: Volume of the cylinder
Volume of the cylinder = \u03c0r\u00b2h
= \\frac { 22 }{ 7 }227 x 5.6 x 5.6 X 5 7
= 22 x 0.8 x 5.6 x 5
= 492.8 cc
\u2234 The volume of the cylinder is 492.8 cc.<\/p>\n\n\n\n

Question 2.
How much iron is needed to make a rod of length 90 cm and diameter 1.4 cm?
Solution:<\/strong>
Given: For cylindrical rod: length of rod (h) = 90 cm, and
diameter (d) = 1.4 cm
To find: Iron required to make a rod
diameter (d) = 1.4 cm
\u2234 radius (r) = \\frac{\\mathrm{d}}{2}=\\frac{1.4}{2}d2=1.42 = 0.7 cm
Volume of rod = \u03c0r\u00b2h
= \\frac { 22 }{ 7 }227 x 0.7 x 0.7 x 90
= 22 x 0.1 x 0.7 x 90
= 138.60 cc
\u2234 138.60 cc of iron is required to make the rod.<\/p>\n\n\n\n

Question 3.
How much water will a tank hold if the interior diameter of the tank is 1.6 m and its depth is 0.7 m?
Solution:<\/strong>
Given: interior diameter of the tank (d) = 1.6 m
and depth (h) = 0.7 m
To find: Capacity of the tank
interior diameter of the tank (d) = 1.6 m
\u2234 Interior radius (r) = \\frac{\\mathrm{d}}{2}=\\frac{1.6}{2}d2=1.62
= 0.8 m
= 0.8 x 100
\u2026[\u2235 1m = 100cm]
= 80cm
h = 0.7 m = 0.7 x 100 = 70 cm
Capacity of the tank = Volume of the tank = \u03c0r\u00b2h
= \\frac { 22 }{ 7 }227 x 80 x 80 x 70
= 22 x 80 x 80 x 10
= 1408000 cc
= \\frac { 1408000 }{ 1000 }14080001000
\u2026[\u22351 litre = 1000 cc]
= 1408 litre
\u2234The tank can hold 1408 litre of water.<\/p>\n\n\n\n

Question 4.
Find the volume of the cylinder if the circumference of the base of cylinder is 132 cm and height is 25 cm.
Solution:<\/strong>
Given: Circumference of the base of cylinder = 132 cm and height (h) = 25 cm
To find: Volume of the cylinder
i. Circumference of base of cylinder = 2\u03c0r
\u2234132 = 2 x \\frac { 22 }{ 7 }227 x r
\u2234\\frac{132 \\times 7}{2 \\times 22}=r132\u00d772\u00d722=r
\u2234\\frac{6 \\times 7}{2}=r6\u00d772=r
\u22343 x 7 = r
\u2234r = 21 cm<\/p>\n\n\n\n

ii. Volume of the cylinder = \u03c0r\u00b2h
= \\frac { 22 }{ 7 }227 x 21 x 21 x 25
= 22 x 3 x 21 x 25
= 34650 cc
\u2234 The volume of the cylinder is 34650 cc.<\/p>\n\n\n\n

Intext Questions and Activities<\/strong><\/p>\n\n\n\n

Question 1.
Leonard Euler, discovered an interesting formula regarding the faces, vertices and edges of solid figures.
Count and write the faces, vertices and edges of the following figures and complete the table. From the table verify Euler\u2019s formula, F + V = E + 2. (Textbook pg. No. 113)<\/strong>
\"Maharashtra
Solution:
<\/strong>\"Maharashtra
From the above table, F + V = E + 2 i.e. Euler\u2019s formula is verified.<\/p>\n\n\n\n

Download PDF<\/strong><\/h2>\n\n\n\n

Maharashtra Board Solutions Class 8-Maths (Practice Set 16.3): Chapter 16- Surface Area and Volume<\/p>\n\n\n\n

Download PDF<\/strong>: Maharashtra Board Solutions Class 8-Maths (Practice Set 16.3): Chapter 16- Surface Area and Volume PDF<\/a><\/p>\n\n\n\n

Chapterwise Maharashtra Board Solutions Class 8 Maths :<\/strong><\/h2>\n\n\n\n