Answer :
So the answer is 1620.07 cm^2
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The space inside the sphere, but outside the cylinder is 1620.24 square cm.
What is total surface area?
The total surface area is the sum of the area of all the surface of the solid.
What is the formula for the total surface area of cylinder?
The formula for the total surface area of cylinder is given by
[tex]T.S.A = 2\pi rh + 2\pi r^{2}[/tex]
Where,
TSA is the total surface area of the cylinder
r is the radius of the cylinder
h is the height of the cylinder.
π = 3.14
What is the formula for the total surface area of sphere?
The formula for the total surface area of sphere is given by
[tex]T.S.A = 4\pi r^{2}[/tex]
where,
TSA is the total surface area of sphere
r is the radius of sphere
According to the given question
Radius of the cylinder is 3cm.
Height of the cylinder is 7cm.
Radius of sphere is 12cm.
Therefore,
The total surface area of the cylinder = [tex]2\pi (3)(7) + 2\pi (3)^{2}[/tex]
Total surface area of the cylinder = [tex]2\pi (21 + 9)[/tex][tex]= 2\pi (30)[/tex] [tex]= 2(3.14)(30) =188.4[/tex]
Similarly,
The total surface area of sphere [tex]=4\pi r^{2} = 4(3.14)(12)^{2} = 1808.64 square cm[/tex]
So, the space between them = 1808.64 - 188.4 = 1620.24 square cm
Hence, the space inside the sphere, but outside the cylinder is 1620.24 square cm.
Learn more about the total surface area here:
https://brainly.com/question/8419462
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