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:
Width is 5 and length is 7
Step-by-step explanation:
You can solve the equation using the distributive property and inverse operations.
2x +2(x+2)=24
2x + 2x + 4 = 24
4x + 4 = 24
4x = 20
X = 5
This means the width is 5 and the length is 7.
Answer:D
Step-by-step explanation:
Your welcome
Answer:
=408x3+1556x2−4008x+1564
Step-by-step explanation:\
(8x−4)(3x+17)(17x−23)
