Question

Jasmine is in charge purchasing tubes of silicone sealant, used for finishing

restroom facilities. She finds that she is able to purchase silicone sealant in cone
tubes. She knows that a jumbo cone of sealant has a top diameter of 8 inches and
a height of 12 inches, and a regular cone of sealant has a top diameter of 4 inches
and a height of 6 inches. Jasmine believes that with her order of sealant, that she
can get the same amount of silicone sealant from two regular cones as from one
jumbo cone,
a) Is Jasmina correct about the silicone sealant cones?
If you think Jasmina is correct explain why.
If you think she is incorrect replace the statement with one that is correct.
Explain why your statement is correct.
b) If the price for a regular cone of sealant is $3.40, what is a 'fair price' for a
jumbo cone?

Answer 1

a) Jasmine or Jasmina is correct about the silicone sealant cones.

If Jasmine orders two regular cones of regular sealant, it will be equal to the Jumbo cone of sealant, because the top diameter when put together in a Jumbo cone will give the same result as a Jumbo cone, since 4 * 2 = 8 inches (top diameter) and 6 * 2 = 12 inches (height).

b) If the price for a regular cone of sealant is $3.40, the 'fair price' for a jumbo cone should be $6.80 ($3.40 * 2).

Explanation:

Jumbo cone of sealant has top diameter of 8 inches and a height of 12 inches

Regular cone of sealant has top diameter of 4 inches and a height of 6 inches

If Jasmine orders two regular cones of regular sealant, it will be equal to the Jumbo cone of sealant, because the top diameter when put together in a Jumbo cone will give the same result as a Jumbo cone, since 4 * 2 = 8 inches (top diameter) and 6 * 2 = 12 inches (height).

If the price for a regular cone of sealant is $3.40, the 'fair price' for a jumbo cone should be $6.80 ($3.40 * 2), since two of the regular cone will give the value of a Jumbo cone.