CBSE Class 10 Maths (Standard) 2023 · Paper 30/5/1 · Question 36

Surface Areas and Volumes 4 marks Hard

Case Study - 1. A golf ball is spherical with about

300 - 500

dimples that help increase its velocity while in play. Golf balls are traditionally white but available in colours also. In the given figure, a golf ball has diameter

4.2

cm and the surface has

315

dimples (hemi-spherical) of radius

2

mm. Based on the above, answer the following questions :

Outline of the dimpled surface.

(i)Find the surface area of one such dimple.[1]
(ii)Find the volume of the material dug out to make one dimple.[1]
(iii) (a)Find the total surface area exposed to the surroundings.[2]
(iii) (b)Find the volume of the golf ball.[2]

Answer

(i)

\approx 0.251

^{2}

; (ii)

\approx 0.0168

^{3}

; (iii)(a)

95.04

^{2}

; (iii)(b)

33.528 \approx 33.53

^{3}

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2023 · Paper 30/5/1, Question 36 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2023 · Paper 30/5/1 · Question 36

Answer

From the board paper

More questions from Surface Areas and Volumes