The figure is made up of a cone and a cylinder. to the nearest whole number, what is the approximate volume of this figure? use 3.14 to approximate π . enter your answer in the box.

38 m³

To solve this we are going to find the volumes of the cylinder and the cone separately, and then we are going to add them.

Volume of the cylinder:

where

is the volume of the cylinder

is the radius

is the height

We can infer from the picture that the radius of the cylinder is 3 mm and its height is 2 mm, so let's replace the values

Volume of the cone:

where

is the volume of the cone

is the radius

is the height

We can infer from our picture that the radius of the cone is 4 mm and its height is 3 mm, so let's replace the values

Volume of the figure = area of the cylinder + area of the cone

Volume of the figure =

rounded to nearest integer:

Volume of the figure =

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.