MATH SOLVE

3 months ago

Q:
# John buys big ice-cream cylindrical Jar and sells it for $1.each ice-cream cone. Each cone has around 30 cubic cm of ice-cream in it. Jar has diagonal 20 cm. and its height is 3 times of width. If he sells the whole jar, and He originally bought it for $7 does he make profit out of selling the jar?

Accepted Solution

A:

First, determine the dimensions of the jar using the given values. We may use the Pythagorean theorem to determine the unknown values,

(20 cm)² = (3W)² + W²

The value of W from the equation is approximately 6.32 cm.

The height is equal to 3W which is 18.97 cm.

We them determine the volume of the cylinder through the equation,

V = πr²h

Substituting the known values,

V = π(6.32 cm/2)²(18.97 cm)

V = 595.10 cm³

Then, determine the number of ice cream cones by dividing the calculated volume by the volume of each cone.

n = (595.10 cm³) / (30 cm³) = 19.84 ice cream cones

or

n = 19 ice cream cones

The profit is,

P = $19 - $7 = $12

Answer: $12

(20 cm)² = (3W)² + W²

The value of W from the equation is approximately 6.32 cm.

The height is equal to 3W which is 18.97 cm.

We them determine the volume of the cylinder through the equation,

V = πr²h

Substituting the known values,

V = π(6.32 cm/2)²(18.97 cm)

V = 595.10 cm³

Then, determine the number of ice cream cones by dividing the calculated volume by the volume of each cone.

n = (595.10 cm³) / (30 cm³) = 19.84 ice cream cones

or

n = 19 ice cream cones

The profit is,

P = $19 - $7 = $12

Answer: $12