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25.11.2020 •
Mathematics
A cylindrical syringe has a height of 6.8 cm and a diameter of 2.37 cm is going to be
used to fill a half sphere (semi sphere) with a circumference of 31.4 cm. How many
syringes filled with water would be needed to fill the semi-sphere?
6.8 cm
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Ответ:
The number of syringe filled with water that would be needed to fill the semi-sphere is approximately 8.714 syringes
Step-by-step explanation:
The height of the syringe = 6.8 cm
The diameter of the syringe = 2.37 cm
The circumference of the hemisphere = 31.4 cm
Let r represent the radius of the hemisphere, we have;
2·π·r = 31.4 cm
r = 31.4/(2 × π) ≈ 4.9975 cm
The volume of the hemisphere = 2/3 × π × r³ = 2/3 × π × (31.4/(2 × π))³ ≈ 261.4 cm³
The volume of the syringe = π × d²/4 × h = π × 2.37²/4 × 6.8 ≈ 29.998 cm³
The number of syringe filled with water that would be needed to fill the semi-sphere = (The volume of the hemisphere)/(The volume of the syringe)
Therefore;
The number of syringe filled with water that would be needed to fill the semi-sphere = 261.4 cm³/(29.998 cm³) ≈ 8.714 syringes.
Ответ:
Fixed expenses
Step-by-step explanation: