Option B: 67.02 cubic inches
<h2>
Given that:</h2>
The diagram consists of two parts:
- First a cone on the top with 12 inches height and 4 inches diameter.
- Second a semi sphere with diameter of 4 inches.
<h2>Calculations:</h2>
The amount of foams that can be stuffed with foam is total volume of both the containers.
Volume of the given cone of 12 inches height and 4 inches diameter can be given as:
Volume of the semi sphere of 4 inches diameter can be given as:
Thus total volume is 50.265 + 16.755 = 67.02 cubic inches.
Thus option B : 67.02 cubic inches is the needed volume.
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The arrangement of the fraction from least to greatest is 5/11, 2/3 and 7/8.
<h3>What is a fraction?</h3>
A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers
The fraction can be changed to percentage to make it easier.
7/8 = 7/8 × 100 = 87.5%
5/11 = 5/11 × 100 = 45.5%
2/3 = 2/3 × 100 = 66.7%
The arrangement is 5/11, 2/3 and 7/8.
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S+(2+1/2)s+20=48
2/2s+5/2s=48-20
7/2s=28
7s=28*2=2(20+8)=40+16
7s=56
s=56/7
s=8
Answer:
x = 31 and x = 15
Step-by-step explanation:
(a)
(3x + 31) and (2x - 6) are a linear pair and sum to 180° , then
3x + 31 + 2x - 6 = 180
5x + 25 = 180 ( subtract 25 from both sides )
5x = 155 ( divide both sides by 5 )
x = 31
(b)
3x and (4x - 15) form a right angle and sum to 90° , then
3x + 4x - 15 = 90
7x - 15 = 90 ( add 15 to both sides )
7x = 105 ( divide both sides by 7 )
x = 15
