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brilliants [131]
3 years ago
9

A cylinder has a height that is twice the length of the diameter. The diameter of the cylinder is 10 centimeters. What is the su

rface area of the cylinder?
Type the correct answer in the box. Use numerals instead of words.

The surface area is square centimeters.
Mathematics
1 answer:
siniylev [52]2 years ago
5 0

Answer:

Step-by-step explanation:

Givens

pi = 3.14

d = 10 cm

h = 2*d

Formula

  • The top of the cylinder is a solid circle. So the area of the circle is pi r^2
  • There is both a top and bottom to the circle so the fomula is 2*pi*r^2

  • The surrounding area of the cylinder is the circumference of the circle times the height. The circumference of the circle is 2*pi*r.
  • Then you just multiply by the height.
  • formula = 2*pi * r * h

The combined formula is given below.

SA = 2*pi*r^2  +  2*pi*r * h

Conversions

d = 10 cm

h = 2*10

h = 20 cm

r = d/2

r = 10 / 2

r = 5cm

Solution

SA = 2*pi*r^2  +  2*pi*r * h

SA = 2*3.14*5^2 + 2*3.14*5*20

SA = 157 + 628

SA = 785 cm^2

Answer: The surface area is 785 cm^2

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The slope of the line is m=-\frac{3}{7}

Explanation:

The points are (-3,1) and (4,-2)

We need to find the slope of the line that contains the points (-3,1) and (4,-2)

The slope of the equation can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (-3,1) and (4,-2) in the slope formula, we have,

m=\frac{-2-1}{4-(-3)}

Simplifying the expression, we have,

m=\frac{-2-1}{4+3}

Adding the terms in both numerator and denominator, we have,

m=\frac{-3}{7}

The slope of the line that contains the points (-3,1) and (4,-2) is m=-\frac{3}{7}

Thus, the slope of the line is m=-\frac{3}{7}

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3 years ago
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Find the sum of the following geometric sequences a) 6 terms (-4, 12, -36,...)​
posledela

Answer:

S₆ = 728

Step-by-step explanation:

the sum to n terms of a geometric sequence is

S_{n} = \frac{a_{1}(r^{n}-1)  }{r-1}

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = \frac{a_{2} }{a_{1} } = \frac{12}{-4} = - 3 , then

S₆ = \frac{-4((-3)^{6}-1) }{-3-1}

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Answer:

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Step-by-step explanation:

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