Question

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Answer 1

7) sphere's volume is V = 4/3 pi r^3 = 6^3

r^3 = 216*3/(4pi)

r = 3.722

8) A≈12.57m²

d Diameter

2m

Using the formulas

A=4πr2

d=2r

Solving forA

A=πd2=π·22≈12.56637m²

9) The surface area of sphere =616cm²

Since, the surface area of sphere =4πr²

Therefore,

4πr²=616

πr² =154

r²=49

r=7cm

10) Let r can be the radius of the cylinder. Then,Volume of spherical shell = Volume of the cylinder. 43 × π × ( 53 - 33 ) = π × r2 × 83 r = 7 cm D = 14cm

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