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2 years ago

If r = 3 units and x = 11 units,then what is the volume of the cylinder?

Mathematics

1 answer:

Kay [80]2 years ago

5 0

Answer:

310.86 cubic units

Step-by-step explanation:

Volume of a cylinder

= pi r^2 h

Given radius r = 3units

Height = 11 units

Pi = 3.14

Volume = 3.14 x (3)^2 x 11

3.14 x 3x3 x 11

Multiply through

V = 310.86 cubic units

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Which is the greater rate of change? -1/2 4/1

mote1985 [20]

4/1 is a greater rate of change because it is the same as 4. A whole number will always be greater than a fraction and also the fraction is negative which makes it even smaller than a regular fraction. I hope this answers your question! :)

3 0

2 years ago

1. Find the perimeter of the figure. Each unit is 1 centimeter

Oxana [17]

Answer:

Step-by-step explanation:

count the sides of the boxes for each side of the shape

8 0

3 years ago

What is the constant of proportionality in the graph below? (answer must be simplified fraction) PLEASE HELP I WILL MAKE U BRAIN

Pepsi [2]

Answer:

The constant of proportionality is $\frac{9}{2}$

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities

If x and y are in directly proportion, then $\frac{y}{x}=k$ , where k is the constant of proportionality.

The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.

To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.

∵ Point (4, 18) lies on the line

∴ x = 4, y = 18

∵ The equation is y = kx

→ Substitute x by 4 and y by 18

∴ 18 = k(4)

∴ 18 = 4k

→ Divide both sides by 4 to find k

∴ $\frac{18}{4}=\frac{4k}{4}$

∴ $\frac{18}{4}=k$

→ Simplify the fraction by dividing up and down by 2

∴ $\frac{9}{2}=k$

∴ The constant of proportionality is $\frac{9}{2}$

6 0

3 years ago

-13/28+17/20 give answer as a reduced proper or improper fraction

Kay [80]

13/28+17/20=−13/28+17/20=27/70

6 0

3 years ago

The 3rd term of the geometrical sequence is larger than the 2nd

notsponge [240]

Answer:the first term is 81

Step-by-step explanation:

The formula for determining the nth term of a geometric sequence is expressed as

Tn = ar^(n - 1)

Where

Tn represents the nth term

n represents the number of terms

r represents the common ratio

The 3rd term of the geometrical sequence is larger than the 2nd

term by 36. This means that

T3 - T2 = 36 - - - - - - - - - - 1

The product of these two terms is -243. This means that

T2 × T3 = - 243

T2 = - 243/T3

Substituting T2 = - 243/T3 into equation 1, it becomes

T3 - (- 243/T3) = 36

T3 + 243/T3 = 36

T3^2 + 243 = 36T3

T3^2 - 36T3 + 243 = 0

T3^2 - 27T - 9T3 + 243 = 0

T3(T3 - 27) - 9(T3 - 27) = 0

T3 - 9 = 0 or T3 - 27 = 0

T3 = 9 or T3 = 27

Substituting T3 = 9 or T3 = 27 into

T2 = - 243/T3 = 27, it becomes

T2 = - 243/9 or - 243/27

T2 = - 27 or T2 = - 9

Therefore,

The 3rd term is 9

The 2nd term is - 27

The common ratio, r would be

T3/T2 = 9/-27 = - 1/3

The expression for the third term would be

9 = a × - 1/3^(3 - 1)

9 = a × (- 1/3)^2

9 = a × 1/9

a = 9 × 9 = 81

3 0

2 years ago