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Mariulka [41]
3 years ago
14

Find the height of the cone if the volume is 400pi in.^3 and the radius is 20 in

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0

Answer:

The height is 3

Step-by-step explanation:

The formula to find the volume is pi r^2 h/3

So we change the formula: 400pi is 1256.64 rounded

Divide 1256.64 by pi 20^2 and you get 3

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Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm
Schach [20]

Answer:

a) Surface area = 616 cm²

b) Volume = V = 1083 cm³

Step-by-step explanation:

Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm

a) Formula for surface area = Base area × 1/2(perimeter × slant height)

Base area = Base edge²

=( 16 cm)² = 256 cm²

Perimeter = Base edge × 3

= 16 cm × 3 = 48 cm

Hence:

Surface Area = 256 cm² + 1/2(48 × 15)

= 256 cm² + 360 cm²

= 616 cm²

b) Volume = 1/3 × Base area × Height

1082.758616785cm³

Approximately = 1083 cm³

8 0
3 years ago
Solve the system of equations below -3xy+6y=9
Tcecarenko [31]

Answer:

x=\frac{2y-3}{y}

Step-by-step explanation:

4 0
3 years ago
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What is the sum of the polynomials (-x^2+9)+(-3x^2-11x+4)
Marta_Voda [28]
You can just add the terms:

<span>(-x^2+9)+(-3x^2-11x+4) = -4x</span>² - 11x + 13
6 0
3 years ago
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A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the bar
jeyben [28]

Hi,

Let assume a the west side,

b the length of the north wall (i suppose the answer is smaller then the barn.

Cost of the fence= a*6+a*12+b*12=3000 $.

So 3a+2b=500==>b=(500-3a)/2

Area =a*b=a(500-3a)/2= 250a-3/2a²

Derivate the area ==> 250-3a=0

==> a=250/3 and b=(500-3*250/3)/2=125

Width=125 (feet)

Length=250/3=83.333 (feet)

3 0
3 years ago
A shopper bought shoes marked $40 the sales tax is 8%. How much did the shopper pay in all?
s2008m [1.1K]

Answer:

$43.20

Step-by-step explanation:

0.08*40=3.2

3.2+40=$43.20

8 0
3 years ago
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