The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter

The volume of the kiosk is 72 m³.

Step-by-step explanation:

The volume of the kiosk is given by the sum of the volume of a cylinder () and the volume of a cone ():

Where:  

r: is the radius of the cylinder and the cone = d/2 = 5/2 = 2.5 m

d: is the diameter = 5 m

: is the height of the cylinder = 3 m                              

: is the height of the cone = 2 m

Hence, the volume is:

Therefore, the volume of the kiosk is 72 m³.

I hope it helps you!

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

the answer is b.

step-by-step explanation: