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stellarik [79]
3 years ago
7

Can someone help me with this please....ill give points and brainless​

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

The total surface area of the given cone is

S = 4( \sqrt{3}+1)\pi  cm^2

Step-by-step explanation:

<u>Step 1</u>:-

<u>Formula:-</u>

The total surface area of cone is

S.A = \pi r l +B

S.A = \pi r l +area of base

S.A = \pi r l+ \pi r^2........(1)

<u>Step 2:-</u>

Given slant height l = 2\sqrt{3} cm

and radius of the circle (base) = 2

substituting these values in equation (1)

S.A = \pi (2)(2\sqrt{3} ) + \pi (4)

on simplification, we get

S.A = \pi (4\sqrt{3}+4)

<u>Final answer</u> :-

S.A = 4 (\sqrt{3}+1)\pi cm^2

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Answer:

The volume of the figure is (\frac{l^{3}}{3})[\frac{\pi }{2}-1]\ units^{3}

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid

step 1

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=\frac{l\sqrt{2}}{2}\ units ----> the diagonal of the square base of pyramid is equal to the diameter of the cone

h=l\ units

substitute

V=\frac{1}{3}\pi (\frac{l\sqrt{2}}{2})^{2}(l)

V=\frac{1}{6}\pi (l)^{3}\ units^{3}  

step 2

Find the volume of the square pyramid

The volume of the pyramid is equal to

V=\frac{1}{3}Bh

where

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we have

h=l\ units

B=l^{2}\ units^{2}

substitute

V=\frac{1}{3}l^{2}(l)

V=\frac{1}{3}l^{3}\ units^{3}

step 3

Find the volume of the figure

\frac{1}{6}\pi (l)^{3}\ units^{3}-\frac{1}{3}l^{3}\ units^{3}=(\frac{l^{3}}{3})[\frac{\pi }{2}-1]\ units^{3}

5 0
3 years ago
Please help me with this problem and thank you Find the lateral area of this cone leave your answer in terms of pie
alexandr1967 [171]

9514 1404 393

Answer:

  260π in²

Step-by-step explanation:

The slant height is the hypotenuse of a right triangle with legs 10 and 24. Using the Pythagorean theorem, we find it to be ...

  l² = 10² +24² = 100 +576 = 676

  l = √676 = 26

The given formula tells you the lateral area is ...

  A = πrl = π(10 in)(26 in)

  A = 260π in² . . . . . cone's lateral area

_____

<em>Additional comment</em>

The name of the constant relating diameter to circumference (π) is "pi". It is the 16th letter of the Greek alphabet. "Pie" is something else entirely.

6 0
3 years ago
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2 years ago
Everbank Field, home of the Jacksonville Jaguars, is capable of seating 76,867 fans. The revenue for a particular game can be mo
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</span>0 \leq x\geq 76867

The range is all the values that the function can have.So here it's from 0, when noone is coming, to 76867*161=12377036

0 \leq y\geq 12377036




5 0
3 years ago
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