A party cap is in the form of a frustum. The radii of its ends are 10cm and 30 cm. The volume of the cap is 9100. What is the height of the cap?

4.46cm

Step-by-step explanation:

Volume of a frustum is expressed as;

V = (1/3) * π * h * (r₁² + r₂² + (r₁* r₂))

h is the height of the frustum

r₁ and r₂ are the radii of its ends

V is the volume

Given

V = 9100cm₃

r₁ = 10cm

r₂ = 30cm

Substitute

9100 = (1/3) * (3.14) * h * (10² + 30² + (10* 30))

9100 = 1/2(3.14)*h*(100+900+300)

9100 = 1.57*h*(1300)

9100 = 2,041h

h = 9100/2,041

h = 4.46cm

Hence the height of the cap is 4.46cm

step-by-step explanation:

what was your answer?

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: