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

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.

answer-

a. the total cost of a taxi ride includes an initial charge of approximately $3.30

solution-

in the graph,

x axis represents the distance traveled and

y axis represents the total fare

the best fit line intersects the y axis approximately at 3.30 or y-intercept is 3.30. at x=0, i.e when the taxi is still, the value of y or the cost of the fare is 3.30. that means $3.30 is the fixed charge which will be levied along with the other fare.

the slope of the line represent the cost per mile. as the best fit line is straight line, so the price per mile is constant.

step-by-step explanation:

the answer is k.

its the middle point.

good luck.