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Kitty [74]
3 years ago
11

A sphere has the volume given. Find its surface area to the nearest whole number.

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
6 0
Volume of the sphere = 900 cubic inch
Then
4/3 pi (r)^3 = 900
pi (r)^3  = (900 * 3)/4
             = 675
r^3 = 675/pi
      = 675/3.14
r^3 = 214.97
r = 6
Then
Surface area of the sphere = 4 pi (r)^2
                                            = 4 * 3.14 * (6)^2
                                            = 4 * 3.14 * 36
                                            = 452.16
                                            = 452
The surface area of the sphere given in the question is 452 square inches.
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The following equation can be used to calculate the width, w, of the rectangle with the specified area: 2w²- w - 91 = 0.

<h3>What is a Rectangle's Area?</h3>

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Multiply the length by the width to obtain the area of a rectangle. The formula is as follows: A = L * W where A is the area, L denotes the length, W denotes the width, and * denotes multiplication. where A denotes area, s denotes side length, and implies multiply.

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Using the area formula, the equation for calculating w would be: (2w - 1)(w) = 91.

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