Directions: Read the condition given below and answer the question bas

1.	Directions: Read the condition given below and answer the question based on it.A sphere of diameter d is cut horizontally and vertically both and divided into four equal parts. Find the total surface area of one part of sphere?1. πd2/22. 3πd2/43. 3πd2/24. πd2/4
Answer» Correct Answer - Option 1 : πd²/2 Given: A sphere of diameter d is given Formula Used: Surface area of sphere = 4 π r² Where r is the radius of sphere Calculation: Let the radius of sphere be r When a sphere is cut into four parts by horizontal and vertical cuts then one curved and to flat semi circular surfaces is created ∴ We need to calculate surface area of curved surface of part and surface are of two flat semi circle We know that surface area of sphere is 4 π r² and one forth of it will be π r² Now, area of two semi circular flat surface ∴ Surface area = π r²/2 + π r²/2 = π r² Now, total surface area of resulting part = π r² + π r² = 2 π r² Here, the diameter (d) of sphere is given ∴ Surface area = 2 π (d/2)² = π (d)²/2 Hence, option (1) is correct

Directions: Read the condition given below and answer the question based on it.A sphere of diameter d is cut horizontally and vertically both and divided into four equal parts. Find the total surface area of one part of sphere?1. πd2/22. 3πd2/43. 3πd2/24. πd2/4

Answer» Correct Answer - Option 1 : πd²/2

Given:

A sphere of diameter d is given

Formula Used:

Surface area of sphere = 4 π r²

Where r is the radius of sphere

Calculation:

Let the radius of sphere be r

When a sphere is cut into four parts by horizontal and vertical cuts then one curved and to flat semi circular surfaces is created

∴ We need to calculate surface area of curved surface of part and surface are of two flat semi circle

We know that surface area of sphere is 4 π r² and one forth of it will be π r²

Now, area of two semi circular flat surface

∴ Surface area = π r²/2 + π r²/2 = π r²

Now, total surface area of resulting part = π r² + π r² = 2 π r²

Here, the diameter (d) of sphere is given

∴ Surface area = 2 π (d/2)² = π (d)²/2

Hence, option (1) is correct