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 .

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)