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lisabon 2012 [21]
2 years ago
8

Pls answer Question 28 and 29 asap.

Mathematics
1 answer:
Kaylis [27]2 years ago
4 0

28. Answer:  86% decrease

<u>Step-by-step explanation:</u>

Original Sphere has a radius of 100%   →  r =1

Surface Area of Original Sphere:

S.A. = 4πr²

       = 4π(1)²

       = 4π


New Sphere has a diameter of 75%   →   d = 0.75    →    r = 0.375

Surface Area of New Sphere:

S.A. = 4πr²

       = 4π(0.375)²

       = 0.5625π


\text{\% Change} =\dfrac{New - Original}{Original}\\\\.\qquad \qquad =\dfrac{0.5625\pi -4\pi}{4\pi}\\\\.\qquad \qquad =\dfrac{-3.4375\pi}{4\pi}\\\\.\qquad \qquad =-0.86

<em>The negative sign represents a decrease.</em>

*********************************************************************************

29. Answer:  72 bottles

<u>Step-by-step explanation:</u>

Volume of a hemisphere is:

V=\dfrac{2}{3}\pi r^3\\\\.\quad =\dfrac{2}{3}\pi (18)^3\\\\.\quad = 3888\pi

Volume of a cylinder is:

V=\pi r^2h\\\\.\quad =\pi (3)^2(6)\\\\.\quad =54\pi

The number of cylinders needed is:

\dfrac{3888\pi}{54\pi} = 72


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