Answer:
9.43 cm³
Step-by-step explanation:
Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius
36π cm² = 4πr²
r² = 36π cm²/4π
r² = 9 cm²
r = √(9 cm²)
r = 3 cm
So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3
= 4π(3 cm)³/3
= 4π(9 cm³)
= 36π cm³
The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm
V' = π(3 cm)² × 11 cm/3
= 9π cm² × 11 cm/3
= 33π cm³
So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³
= 3π cm³
= 9.43 cm³
The required temperature at 5:00 am is -12° F.
Given,
The temperature at 5:00 p.m. was -4° F. By 5:00 a.m. the temperature had decreased by 8° F what was the temperature at 5:00 a.m is to be determined and shown it with a vertical number line.
<h3>What is a number line?</h3>
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
The temperature at 5:00 p.m. was -4° F.
By 5:00 a.m. the temperature had decreased by 8° F.
The temperature at 5:00 a.m. = - 4 - 8
= -12° F
Thus, the required temperature at 5:00 am is -12° F.
Learn more about number line here:
brainly.com/question/17683084
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Answer:
x=2
Step-by-step explanation:
Solution is attached
You can plug 2 back into the equation to verify :)
So,
We need to convert the gallons into cups.
1 gal. = 16 c.
2 3/4 gal. = 2(16) + 3/4(16) = 32 + 12 = 44
3 5/8 gal. = 3(16) + 5/8(16) = 48 + 10 = 58
5 gal. = 5(16) = 80
There are 20 + 15 = 35 people. Therefore, Bob's friends will drink a total of 35 cups of lemonade, 35 cups of punch, and 35 cups of soda. We just need to subtract these amounts from what Bob has.
44 - 35 = 9 cups of lemonade
58 - 35 = 23 cups of punch
80 - 35 = 45 cups of soda
Obviously, then, Bob will have enough drinks.
He has 9 cups of lemonade, 23 cups of punch, and 45 cups of soda left over. In gallons, he has 9/16 gallons of lemonade, 1 7/16 gallons of punch, and 2 13/16 gallons of soda left over.