The base of a 6-inch long ice cream cone with a diameter of 2 inches, is cut 0.25 inches from the base. this cut creates two shapes, one is a cone, and the other one resembles a cylinder since it was cut so close to the base. what is the best estimate for the volume of the shape that resembles a cylinder? a) 0.26 cubic inches b) 0.52 cubic inches c) 0.79 cubic inches d) 2.66 cubic inches

Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Length of ice cream cone = 6 inch

Diameter of cone = 2 inches

Radius of cone is given by

But according to question, it is cut 0.25 inches from the base  and this cut into cylinder and cone.

Since it was cut so close to the base.

So, Height of the cylinder = 0.25 inches

As we know the  formula for "Volume of cylinder ":

Hence, Option 'C' is correct.

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step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240