I need help ASAP I’ll give brainliest

8 inches

Step-by-step explanation:

The volume of a cone is

V =1/3 pi r^2 h

33.5 = 1/3 (3.14 ) ( 2)^2 h

33.5 = 4.186666666 h

Divide each side by 4.186666666

33.5/ 4.186666666  = 4.186666666 h/4.186666666

8.001592357 = h

To the nearest inch

8 = h

h≈8

Step-by-step explanation:

the formula for the height of a cone is : 3 (volume/ pi radius squared)

so just plug in the numbers 3( 33.5/ (3.14*4))

the answer is 8.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

answ9x x 3=

step-by-step explanation: