The circus ringleader, Ms. Evelyn, wants all the 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 be the same volume. The radius of both cake pieces will be 3 in. What must the height of the clown hat cake be in order for the two cakes to be equal in volume? Round to the nearest hundredth if necessary. Explain or show your work.

Answers

Answer 1

Answer: im assuming the hat is a cylinder and the ball is a sphere
volume of cylinder (hat) = pi * r^2 *h
volume of sphere = 4/3 pi r^3
plug in your radius to first find volume of sphere
4/3 * pi * 3^3 = 36pi
set that equal to the formula for cylinder and solve
36pi = pi * 3^2 * h
36pi = 9pi * h
36pi / 9 pi = h
4=h

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Solving equations on both sides so solve (3d+8=2d-17) how did you find youre answer

Answers

it's important do do the same thing to both sides so the equation will stay equal
exg
3=3
multipy 4
12=12
still true

so 3d+8=2d-17
2d means 2 times d or d+d

so
3d+8=2d-17
subtract 2d from both sides
3d-2d+8=2d-2d-17
d+8=-17
subtract 8 from both sies
d=-25

d=-25

$3d-2d=-17-8$ | Like terms on each side

$d=-25$ | simplify

Can 3/5 be simplified

Answers

yup its already in simplist form

3/5 is already in simplest form, therefore cannot be simplified any further.

78 children attended a trip to California Adventure. 60 of them were boys. Find the ratio of the number of boys to girls, and express this ratio in all three forms. Make sure the fraction form is in lowest terms

Answers

There are 10 boys to 3 girls.

Total number of children: 78
Number of Boys = 60
Number of Girls = 18

Ratio of boys to girls : 60/18
Simplify the ratio:
60 ÷ 6 = 10 ; 18 ÷ 6 = 3 ⇒ 10/3 or 10:3 or 10 boys to 3 girls

A rectangular cake has a length of 22 1/2 inches and a width of 10 inches. How many whole, square pieces of cake with side lengths of 2 1/2 inches can be cut from the cake?

Answers

36 square pieces of cake can be cut from the rectangular cake.

What is rectangle?

"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles."

What is square?

"A square is a shape that has four straight sides of the same length and four angles of 90 degrees"

It is given that the cake is a rectangle and squares are cut from it.

To find the area of the cake:

Area = 22.5 × 10

= 225

The area of each square piece cut from the cake:

Area = 2.5²

=6.25

To find the number of pieces cut, divide the area of the cake by the area of each piece.

$(225)/(6.25)=36$

To know more about square and rectangle here

brainly.com/question/21511724

#SPJ2

well, we need to find the area of the cake. 22.5 times 10 is 225. That is the area then we need to find the area of each piece of cake. 2.5 times 2.5 is 6.26.
so divide the area of the cake by the area of each piece to find how many pieces can be cut.
225/6.25=36 36 pieces of cake can be cut from the cake

The temperature on the moon can vary from 243°F to -261°F. By how many degrees can the temperature vary on the moon?