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Vinil7 [7]
3 years ago
12

A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volum

e of the box to the volume of the sphere?
A.) 6 : pi
B.) 3 : 4pi
C.) 2 : 3pi
D.) 1 : 12pi
Mathematics
2 answers:
BARSIC [14]3 years ago
8 0
Volume of box with side length of 5 = 5^3 = 125

Volume of sphere = (4/3)*pi*5^3 = (4/3)pi * 125

Ratio = 125/(4pi/3)*125  = 1/(4pi/3) = 3/(4pi)

Answer: B
snow_lady [41]3 years ago
8 0

The answer is 6 : pi. Took the test and got it right.

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A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.
Tpy6a [65]

Answer:

6 meters by 9 meters

Step-by-step explanation:

<u><em>Step 1: Formula for perimeter of rectangle</em></u>

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

<u><em>Step 2: Find the length and width in terms of x</em></u>

Width = x

Length = 1.5 times width

Length = 1.5x

<u><em>Step 3: Find x</em></u>

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

<u><em>Step 4: Find the length and width</em></u>

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

6 0
3 years ago
Estimate the quotient of 21.49 ÷ 3.76 using compatible numbers.
kvv77 [185]

The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

<h3>What are quotients?</h3>

Quotients are result derived from the ratio of two rational or integers. Given the expression

21.49 ÷ 3.76

Convert to fraction

21.49 ÷ 3.76 = 2140/100  ÷  376/100
21.49 ÷ 3.76 = 2140/376

21.49 ÷ 3.76 =  5.69

Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

Learn more on quotient here: brainly.com/question/673545

#SPJ1

4 0
2 years ago
Please help me! please!
netineya [11]

Answer:

(c)

Step-by-step explanation:

(c). Stopping for traffic

5 0
3 years ago
Describe the transformation of the graph of the parent function y= sqrt x+7 + 5​
stellarik [79]

Answer:

The function moves 7 to the left and 5 units up

Step-by-step explanation:

y = (x + 7) + 5

I think that's the problem you put.

8 0
3 years ago
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If a cylinder has a volume of 1004.8oz and is 60% full how many oz does it contain?
Alchen [17]
The answer is 602.88 Oz. 
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7 0
3 years ago
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