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