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

q: 92 degrees

hope i ^-^

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5