Two cylindrical swimming pools are being filled simultaneously at the same rate. The smaller pool has a radius of 5 m, and the water level rises at a rate of 0.5m/min. The larger pool has a radius of 8 m. How fast is the water level rising in the larger pool?

0.195m/min

Step-by-step explanation:

The radii of the smaller pool =5m

The radii of the larger pool = 8m

DEFINITION:

Given two similar shapes, and the ratio of lengths in the two similar shapes, the ratio of the areas is a square of the ratio of the lengths.

The radii of the pools have a ratio of 5:8

Therefore, the ratio of surface areas will be  

Since the pools are being filled at the same rate  

Let the Volume of the Smaller Pool, and the height of the water be

Let the Volume of the Larger Pool, and the height of the water be

Volume of a cylinder = Base surface area X Height

The water level is rising in the larger pool at a rate of 0.195m/min

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

c. 1,233 miles