(90 points need this asap) ms. johnson wants all the circus employees to have miniature cakes in the shape of either a circus ball or a clown hat. she wants the clown hat dessert and the circus ball dessert to have equal volumes. the radius of both cake pieces will be 5 in. what must the height of the clown hat cake be for the two cakes to be equal in volume? round to the nearest hundredth if necessary. explain or show your work.

h=12 inches

Step-by-step explanation:

.Ok

Volume she wants should be same for both cake pieces.

Now see volume of a sphere which is a circus ball=4/3πr³

And volume of a cone is 1/3πr²h

if both are equal

4/3πr³=1/3πr²h

after simplify this

4r=h

4(3)=h

h=12 inches

step-by-step explanation:

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )