The answer is not correct
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
Hey there! :)
The formula for finding area of circles is: π · r²
<em>Remember that radius is half the diameter. To find radius when the diameter is given, divide by 2</em>
d = 26
26 ÷ 2 = 13
_____________________________________________________________
π · r²
r = 13
13² = 13 × 13 = 169
169 × 3.14 = 530.66 = 530.7
The area of the swimming pool is 530.7 ft²
Hope this helps :)
Given:
angle of 6 : i'm assuming this is 6 degrees.
distance of 5 miles.
tan(6) = rise/5 mi
rise = 5 mi * tan(6)
rise = 5 mi * 0.10510423526
rise = 0.52552117632
rise = 0.53 miles.
Answer:
Step-by-step explanation:
Given
Required
Determine the percentage of protein
First, we need to calculate the total:
Percentage of protein is calculated as thus:
