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Alja [10]
2 years ago
13

(a) Cup A has a diameter of 10 cm. and a height of 20 cm. Find the Volume of Cup A.

Mathematics
1 answer:
Oksana_A [137]2 years ago
7 0

The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³

<h3>Volume</h3>

Volume is the amount of space occupied by a three dimensional object or figure.

The cup has the shape of a cylinder, the volume is:

Volume = π * radius² * height

For cup A:

Volume = π * (10/2)² * 20 = 1570.8 cm³

Let each punch be 1 cm³, the number of cups needed = 1570.8 cm³ / 1 cm³ = 1571

For cup B:

Volume = π * (20/2)² * 20 = 6283 cm³

Let each punch be 1 cm³, the number of cups needed = 6283 cm³ / 1 cm³ = 6283

The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³

Find out more on Volume at: brainly.com/question/1972490

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Using sigma notation write the geographic series: 6+12+24+48+96
Alika [10]

Answer:

$$\sum_{n=1}^{5} 6(2^{n-1}) $$

Step-by-step explanation:

6 + 12 + 24 + 48 + 96 =

= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16

= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4

= 6 * 2^(n - 1)

$$\sum_{n=1}^{5} 6(2^{n-1}) $$

4 0
3 years ago
A.42.6 square units<br> B. 128 square units <br> C. 32 square units <br> D. 64 square units
kirill [66]

Answer:

Step-by-step explanation:

D. 64 square units

4 0
3 years ago
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3 years ago
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6 0
2 years ago
Solve each system by substitution.<br> y = 2x + 5<br> 3x - y= -6
castortr0y [4]
X=-1 and y=3

To solve this, because y is equal to 2x+5, you can substitute 2x+5 into the bottom equation for y.

You now have 3x - (2x + 5) =-6

This can be solved like a normal equation. Multiply each term in the parenthesis by -1.

3x - 2x - 5 = -6

Subtract 2x from 3x

x - 5 = -6

Add 5 to both sides

x=-1

Now you can solve for y by plugging -1 in for x in either equation. Im going to use the top one.

y= 2(-1)+5
y= -2+5
y=3

You can check your answer by plugging in the values for x and y into both equations and making sure both sides equal each other.
7 0
3 years ago
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