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Class 9 (SSC)Mathematics & Statistics2026-27 Syllabus

Chapter 9 Surface Area and Volume Practice Set 9.3 Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 9 Surface Area and Volume Practice Set 9.3. Step-by-step solved exercises, numerical problems, and digest answers.

5 Solved Questions633 words

Practice Set 9.3 Geometry 9th Std Maths Part 2 Answers Chapter 9 Surface Area and Volume

Question 1 Maharashtra Board Solution
Find the surface areas and volumes of spheres of the following radii i. 4 cm ii. 9 cm iii. 3.5 cm (π = 3.14) i. Given: Radius (r) = 4 cm To find: Surface area and volume of sphere
Solution & Step-by-Step Answer:
Surface area of sphere = 4πr2 = 4 x 3.14 x 42 ∴ Surface area of sphere = 200.96 sq.cm Volume of sphere = πr3 = x 3.14 x 42 ∴ Volume of sphere = 267.95 cubic cm

ii. Given: Radius (r) = 9 cm
To find: Surface area and volume of sphere
Solution:
Surface area of sphere = 4πr2
= 4 x 3.14 x 92
∴ Surface area of sphere = 1017.36 sq.cm

∴ Volume of sphere = 3052.08 cubic cm

iii. Given: Radius (r) = 3.5 cm
To find: Surface area and volume of sphere
Solution:
Surface area of sphere = 4πr2
= 4 x 3.14 x (3.5)2
∴ Surface area of sphere = 153.86 sq.cm
Volume of sphere = πr3
= x 3.14 x (3.5)3
∴ Volume of sphere = 179.50 cubic cm

Question 2 Maharashtra Board Solution
If the radius of a solid hemisphere is 5 cm, then find its curved surface area and total surface area, (π = 3.14) Given: Radius (r) = 5 cm To find: Curved surface area and total surface area of hemisphere
Solution & Step-by-Step Answer:
i. Curved surface area of hemisphere = 2πr2 = 2 x 3.14 x 52 = 2 x 3.14 x 25 = 50 x 3.14 = 157 sq.cm.

ii. Total surface area of hemisphere = 3πr2
= 3 x 3.14 x 52
= 235.5 sq.cm.
∴ The curved surface area and totai surface area of hemisphere are 157 sq.cm, and 235.5 sq.cm, respectively.

Question 3 Maharashtra Board Solution
If the surface area of a sphere is 2826 cm2 then find its volume. (π = 3.14) Given: Surface area of sphere = 2826 sq.cm. To find: Volume of sphere
Solution & Step-by-Step Answer:
i. Surface area of sphere = 4πr2 ∴ 2826 = 4 x 3.14 x r2 2826 = 282600 = 900 ∴ ∴ r2 = 225 ∴ r = … [Taking square root on both sides] = 15 cm

ii. Volume of sphere = πr3
= x 3.14 x 153
= x 3.14 x 15 x 15 x 15
= 4 x 3.14 x 5 x 15 x 15
= 14130 cubic cm.
∴ The volume of the sphere is 14130 cubic cm.

Question 4 Maharashtra Board Solution
Find the surface area of a sphere, if its volume is 38808 cubic cm. (π = ) Given: Volume of sphere = 38808 cubic cm. To find: Surface area of sphere
Solution & Step-by-Step Answer:
∴ r3 = 441 x 21 = 21 x 21 x 21 ∴ r = 21 cm … [Taking cube root on both sides] ii. Surface area of sphere = 4πr2 = 4 x x 21 = 4 x x 21 x 21 = 4 x 22 x 3 x 21 = 5544 sq.cm. ∴ The surface area of sphere is 5544 sq.cm.
Question 5 Maharashtra Board Solution
Volume of a hemisphere is 18000π cubic cm. Find its diameter. Given: Volume of hemisphere = 1 8000π cubic cm. To find: Diameter of the hemisphere
Solution & Step-by-Step Answer:
i. Volume of hemisphere = πr3 = 9000 x 3 ∴ r3 = 27000 ∴ r = … [Taking cube root on both sides] = 30 cm

ii. Diameter = 2r
= 2 x 30 = 60 cm
∴ The diameter of the hemisphere is 60 cm.

Maharashtra Board Class 9 Maths Solutions