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sdas [7]
3 years ago
8

Determine the total surface area of the prism with the net shown.

Mathematics
1 answer:
Luden [163]3 years ago
8 0
Yes 48 is right

Hope this helps you
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Need step by step explanation please.
ryzh [129]

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
  • Volume of Cylinder = πr²h
  • Volume of Sphere = 4/3πr³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

Learn more about volume of a cylinder and a sphere on:

brainly.com/question/64165

4 0
2 years ago
Which algebraic expression represents “the difference of fifty-four and seven times a number”? 54 minus 7 n StartFraction 54 Ove
VMariaS [17]

Answer: 54-7n

Step-by-step explanation:

When we talk about mathematical language, the <u>difference </u>between two numbers, quantities or terms is the <u>substraction operation.</u>

For example, the <u>difference</u> between a and b is:

a-b

On the other hand, if we read a numer c <u>times</u> a number n, this means both numbers are multiplied.

For example:

c <u>times</u> n is:

(c)(n)

So, according to the explained above, “the difference of fifty-four and seven times a number n” is:

54-7n

8 0
3 years ago
Read 2 more answers
Simplify the following expression by combining like terms:<br> - 2 +63 +2 - 2x + 8 - 4:
tangare [24]

Answer:

6+4x-3z

Step-by-step explanation:

<u>-2</u>+6x+z-2x<u>+8</u>-4z

6<u>+6x</u>+z<u>-2x</u>-4z

6+4x<u>+z-4z</u>

6+4x-3z

5 0
3 years ago
PLS HELP!! A line passes through the point (0, -3/2) and has a slope of 1/2. what is the equation of the line?
vesna_86 [32]
Your answer is y=.5x-1.5
6 0
3 years ago
Stans steak house has a server to cook ratio of 5 to 2. The total number of servers and cooks is 42. How many servers does stans
just olya [345]
42 divided by 7 =6 then u times 5 and 6 together . Then times 2 by 6 together so the answer is 30:12
7 0
3 years ago
Read 2 more answers
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