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GrogVix [38]
4 years ago
11

Which cylinders with base area B and height h have volumes

Mathematics
1 answer:
faust18 [17]4 years ago
6 0

Answer:

1) B=15in^{2},h=17in

3) B=7.2in^{2},h=6.5in

4) B=8.5in^{2},h=30in

Step-by-step explanation:

 1. You can calculate the volume of a cylinder with the following formula:

V=B*h

Where B is the area of the base and h is the height.

2. Therefore, you only need to multiply the area of the base by the height in each option:

1) V_1=15in^{2}*17in=255in^{3}

2) V_2=7.2in^{2}*6.5in=46.8in^{3}

3) V_3=34in^{2}*7.5in=255in^{3}

4) V_4=8.5in^{2}*30in=255in^{3}

3. Therefore, the options 1), 3) and 4) have equal volumes.

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Help please thank you!! :)
tankabanditka [31]

Answer:

Area of circle: 1662.57 cm

Circumference of circle: 144.57 cm

Step-by-step explanation:

Formula of area of circle:

pi x r2 or radius x radius

So, it's 22/7 x 23 x 23 = 1662.571429

Formula of circumference of circle:

2 x pi x radius OR

pi x diameter

Let's use the second method, to find diameter it is radius x 2 = 46

So,

46 x 22/7 = 144.5714286

4 0
3 years ago
An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip is drawn.
Harlamova29_29 [7]

Answer:

(A) 0.04

(B) 0.25

(C) 0.40

Step-by-step explanation:

Let R = drawing a red chips, G = drawing green chips and W = drawing white chips.

Given:

R = 8, G = 10 and W = 2.

Total number of chips = 8 + 10 + 2 = 20

P(R) = \frac{8}{20}=\frac{2}{5}\\P(G)=  \frac{10}{20}=\frac{1}{2}\\P(W)=  \frac{2}{20}=\frac{1}{10}

As the chips are replaced after drawing the probability of selecting the second chip is independent of the probability of selecting the first chip.

(A)

Compute the probability of selecting a white chip on the first and a red on the second as follows:

P(1^{st}\ white\ chip, 2^{nd}\ red\ chip)=P(W)\times P(R)\\=\frac{1}{10}\times \frac{2}{5}\\ =\frac{1}{25} \\=0.04

Thus, the probability of selecting a white chip on the first and a red on the second is 0.04.

(B)

Compute the probability of selecting 2 green chips:

P(2\ Green\ chips)=P(G)\times P(G)\\=\frac{1}{2} \times\frac{1}{2}\\ =\frac{1}{4}\\ =0.25

Thus, the probability of selecting 2 green chips is 0.25.

(C)

Compute the conditional probability of selecting a red chip given the first chip drawn was white as follows:

P(2^{nd}\ red\ chip|1^{st}\ white\ chip)=\frac{P(2^{nd}\ red\ chip\ \cap 1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\=\frac{P(2^{nd}\ red\ chip)P(1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\= P(R)\\=\frac{2}{5}\\=0.40

Thus, the probability of selecting a red chip given the first chip drawn was white is 0.40.

6 0
3 years ago
Robin braided g inches of a friendship bracelet. Olivia braided 12 less than 1/3 the number of inches robin braided. Select all
liq [111]

Answer:

Step-by-step explanation:

7 0
3 years ago
Jillian is using integer tiles to add 7 + (negative 2). She uses the steps below. Step 1 7 positive tiles. Step 2 7 positive til
raketka [301]

Answer:

<h3>Step 4</h3>

Step-by-step explanation:

Given the expression 7+(-2)

Let 7 be 7 positive tiles since it is a positive number

Let -2 be 2 negative tiles being a negative number

7+(-2) = 7 positive tiles <em>and</em> 2 negative tiles

note that + * - will give minus sigh (-), the expression will become:

7+(-2) = 7-2

7-2 = 5

Hence the expression gives 5 positive tiles not 2 positive tiles according to Jillian calculations in step 4.

Hence Jillian made an error in step 4

7 0
3 years ago
Read 2 more answers
A bag contains 2 red, 5 blue, and 3 green balls. A ball is chosen at random. What is the probability of not choosing a red ball?
Elena L [17]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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