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Cerrena [4.2K]
3 years ago
10

What is the total surface area of the code?

Mathematics
2 answers:
Svetlanka [38]3 years ago
8 0

Answer:

S.A = 704 cm^2

Step-by-step explanation:

We know that the formula to find the surface area of a cone:

S.A = \pi r (r + \sqrt{h^2 + r^2} ), where "r" is the radius and "h" is the height.

Given: r = 7 cm and h = 24 cm. The value of π = 22/7

Now plug in the given values in the above formula, we get

S.A = = \frac{22}{7} *7 (7 + \sqrt{24^{2}+ 7^2 } )

S.A = 22(7 + \sqrt{576 + 49} )

S.A = 22(7 + \sqrt{625} )

S.A = 22( 7 + 25)

S.A = 22(32)

S.A = 704 cm^2

The surface area of the cone is S.A = 704 cm^2.

Ksju [112]3 years ago
3 0
<h2>Hello!</h2>

The answer is: None of the options.

The correct answer is: 703.69cm^{2}

<h2>Why?</h2>

The total surface area of the cone is equal to:

TotalArea=BaseArea+LateralArea

Calculations:

tex]BaseArea=\pi*r^{2}=\pi*7^{2}=153.94cm^{2}[/tex]

LateralArea=BasePerimeter*SlantHeight/2\\BasePerimeter=2*\pi*r=2*\pi*7=43.98cm\\SlantHeight=\sqrt{height^{2}+radius^{2}  }=\sqrt{576+49}=\sqrt{625}=25

[LateralArea=43.98*\frac{25}{2}=549.75cm^{2}

So,

TotalArea=153.94cm^{2} +549.75cm^{2}=703.69cm^{2}

Have a nice day!

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