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What is the approximate surface area of the sphere 15yd?
A: 225 yd^2
B: 707 yd^2
C: 1,767 yd^2
D: 5,301 yd^2

What is the approximate surface area of the sphere 15yd A 225 yd2 B 707 yd2 C 1767 yd2 D 5301 yd2 class=

Respuesta :

if the diameter of the sphere is 15, then its radius is half that, or 7.5,

[tex]\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\ -----\\ r=7.5 \end{cases}\implies SA=4\pi (7.5)^2\implies SA=225\pi [/tex]

The approximate surface area of the sphere will be 707 yd^2

What is sphere?

  • Sphere is a round solid figure, or its surface, with every point on its surface equidistant from its centre.
  • A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle.
  • A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space.

How to solve this problem?

The steps are as follow:

  • Given the diameter of sphere is 15 yd
  • So the radius will be half of diameter which will be 7.5 yd
  • The surface area of sphere will be as follow:

r = 7.5 yd

Surface area of sphere = 4πr^2

Surface area of sphere = 4*π*(7.5)^2

Surface area of sphere = 706.85 yd^2

Surface area of sphere = 707 yd^2

So the approximate surface area of the sphere will be 707 yd^2

Learn more about sphere here:

https://brainly.com/question/22807400

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