Need with two math questions:
1. a brand new filled can of chicken broth is 10 cm tall and has a radius of 10 cm. mishka uses some of the broth to cook and now the broth left in the can is 6 cm high. how much broth did mishka use?
a) 943 cm³
b) 1257 cm³
c) 1885 cm³
d) 4712 cm³
2. a cone with volume 1350 m³ is dilated by a scale factor of 1/3. what is the volume of the resulting cone?
to anyone who !

Part 1) Option B  

Part 2) The volume of the resulting cone is

Step-by-step explanation:

Part 1)

Find the volume of the can

The volume of the cylinder (can) is equal to

we have

substitute

Remember that

For subtends a volume of

so

by proportion

Find the volume for

Part 2)

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x-----> the volume of the resulting cone

y-----> the volume of the original cone

so

in this problem we have

substitute and solve for x

u what ?

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .