Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
15.71
Step-by-step explanation:
To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5
Put in circumference formula C=2πr
c=2 x 3.14 x 2.5
c= 2 x 7.85
c=15.7
Put the value into the circle circumference formula C=2πr
Answer:it is composite
Step-by-step explanation:
it is composite because if there is say 60 people on the team and he divided the groups amongst three people in each group then it would be 20 groups now that isn't prime see so it would be the same thing if the basketball coach separates the team into 10 groups and there's 60 people on that team that's not a prime number that would be a composite number so the answer is composite A prime number would be there's eight people in each group and he separates them into a group so that means that They would be 64 people on that team Now the book that I'm looking at right now doesn't tell you the people on that team and how much people there are on that team but it says there is a different amount from The number of teams to the number of people in the team see there's like eight people in the team and there is for groups so that means two people in each group so That means that the answer would have to be composite and not prime hope this helped somebody.
Given:
Wall 1 & 2 : 26 ft by 9 ft
Wall 3 : 18 ft by 9 ft
Area 1 : 26 ft x 9 ft = 234 ft²
Area 2 : 26 ft x 9 ft = 234 ft²
Area 3 : 18 ft x 9 ft = 162 ft²
Total Area : 234 ft² + 234 ft² + 162 ft² = 630 ft²
1 Gallon = 250 ft²
630 ft² ÷ 250 ft² per gallon = 2.52 gallons
Answer:
P = 4 / ( 4 + 3 +1 )
= 4 / 8
= 4 / 8 = 1 / 2
Hope it helps
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