A composite figure is formed from a cone and a cylinder with the same base radius, and its volume can be calculated by multiplying the volume of the cylinder by a rational number, a/b. What arrangements of the cylinder and cone could explain this?

The composite figure comprises of a cone balanced on top of  cylinder

Step-by-step explanation:

The composite figure is formed from a cone and a cylinder with the same base radius, Let the base radius be r

Then the volume of the cone will be

Then the volume of the cylinder will be

The total volume of the composite figure will be V, where

let the height of cone and cylinder be same

The volume of the composite figure will be

Hence

Thecomposite figure comprises of a cone balanced on top of  cylinder

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.