The frozen the yogurt cone shown is made from a cone and a hemisphere. radius is 6 cm. th e total height of the figure is 24 cm. suppose the cone is completely packed with frozen yogurt.

the height of the cone

the height of the hemisphere

the exact volume of the cone is pi cm^3

the exact volume of the hemisphere is cm ^3

The height of the cone is 18 cm

The height of the hemisphere is 6 cm

The exact volume of the cone is 216 pi cm^3

The exact volume of the hemisphere is 144 pi cm ^3

Step-by-step explanation:

Since the height of the entire figure is 24 then the height of the cone is 18 cm. This is true since a hemisphere is half a sphere and its height will be its radius which is 6. The height if the hemisphere is 6. So 24 - 6 = 18, the height of the cone.

The volume of the cone is found using the volume formula for a cone .

Substitute h=18 and r = 6.

The volume of a hemisphere is half of . Substitute r=6.

However the hemisphere is half this so it is .

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

42%

step-by-step explanation:

we know,

total people = 60

total males = 25

percentage of males

= 25/60 × 100

= 25/6 × 10

= 25/3 × 5

= 125 / 3

= 41.

rounding of = 42%

happy to

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