Question

the diameter of a spherical ball is 18 cm how much leather is required to prepare the research ball​

Answer 1

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Given:

For spherical ball,

Diameter = 18 cm

To find:

Leather required to prepare spherical ball = ?

Solution:

$\\ \\ radius \: = \dfrac{diameter}{2} \\ \\ = \dfrac{18}{2} \\ \\ = 9 \: cm$

To find amount of leather required for making spherical ball we have to find the total surface area of sphere

$\: \\ \\ surface \: area \: of \: sphere \: = 4 \: \pi \: r {}^{2} \\ \\ = 4 \times \dfrac{22}{7} \times 9 {}^{2} \\ \\ = 1018.2 \: m {}^{2}$

Required answer:

Thus, 1018.2 square meter leather is required to prepare spherical ball

Basic points:

# In sphere as there is no flat surface, total surface area of sphere is equal to curved surface area of sphere

# In hemisphere( half of sphere), total surface area of sphere = 3 π r² and curved surface area of sphere = 2 π r²

# Solve more such questions to get good hold on sphere formulas