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

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. What will be the sum of all the edges of the obtained part?1. d(π + 1)2. 2d(π + 1)3. d(π + 1)/24. 3d(π + 1)
Answer» Correct Answer - Option 1 : d(π + 1) Given: A sphere of diameter d is given Formula Used: Circumference of circle = 2 π r 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 ∴ One strait edge as diameter and two curved edge of semi circle is obtained Now, the length of one strait edge will be d = 2r And the length of two semi circular edge will be π r + π r = 2 π r Now, sum of all the edges of resulting part = 2 π r + 2r = 2r(π + 1) Here, the diameter (d) of sphere is given ∴ Sum of all the edges = 2r (π + 1) = d (π + 1) 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. What will be the sum of all the edges of the obtained part?1. d(π + 1)2. 2d(π + 1)3. d(π + 1)/24. 3d(π + 1)

Answer» Correct Answer - Option 1 : d(π + 1)

Given:

A sphere of diameter d is given

Formula Used:

Circumference of circle = 2 π r

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

∴ One strait edge as diameter and two curved edge of semi circle is obtained

Now, the length of one strait edge will be d = 2r

And the length of two semi circular edge will be π r + π r = 2 π r

Now, sum of all the edges of resulting part = 2 π r + 2r = 2r(π + 1)

Here, the diameter (d) of sphere is given

∴ Sum of all the edges = 2r (π + 1) = d (π + 1)

Hence, option (1) is correct