Question

What is the surface
area of a sphere
formed by joining.
four identical solid

quarter spheres, if
the surface area of
each one of them is
32 cm??
3
32 cm-
1
64 cm
U 80 cm
128 cm?​

Answer 1

Given :- What is the surface area of a sphere formed by joining four identical solid quarter spheres, if the surface area of each one of them is 32 cm² ??

A) 32cm² .

B) 64cm².

C) 80cm².

D) 128cm² .

Solution :-

One quarter of a sphere contains :-

• contains 2 plane surfaces .
• Area of each plane surface = (πr²/2) + ( πr²/2)
• one fourth of curved surface of sphere = (4πr²) /4 = πr².

So,

• Surface area of each quarter of a sphere = (πr²/2) + (πr²/2) + πr² = 2πr² .

then,

• Total surface area of 4 such quarter = 4 * 2πr² = 8πr².

we have given that, surface area of each quareter is 32 cm².

So,

→ 2πr² = 32

then,

→ Total surface area of 4 such quarter = 4 * (2πr²) = 4 * 32 = 128 cm² .(Option D) (Ans.)

Hence, the surface area of a sphere formed by joining.

Hence, the surface area of a sphere formed by joining.four identical solid quarter spheres is 128 cm².

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Answer 2

Answer:

64cm it is the correct answer but I don't know how to find this