A scoop of ice cream in the shape of a whole sphere sits in a right cone. The radius of the ice cream scoop is 1.75 cm and the radius of the cone is 1.75 cm. A: What is the volume of the scoop of ice cream? Show all your work.

B: How tall must the height of the cone be to fit all the ice cream without spilling if it melts? Show all your work.

Help would be appreciated

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

2/3

step-by-step explanation:

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

you have orange juice on wednesday. (idk why this is the answer)

step-by-step explanation: