Jake stores a small cache of4-inch-diameter snowballs in the basement freezer, unaware that the freezer’s self-defrosting feature will cause each snowball to lose about 1 cubic inch of volume every 40 days. Here members them a year later (call it 360 days) and goes to retrieve them.(𝑉=43𝜋𝑟3)

Question

Jake stores a small cache of4-inch-diameter snowballs in the basement freezer, unaware that the freezer’s self-defrosting feature will cause each snowball to lose about 1 cubic inch of volume every 40 days. Here members them a year later (call it 360 days) and goes to retrieve them.(𝑉=43𝜋𝑟3)

What is the initial volume one snowball?
A) 33.5 cubic inches
B) 2 inches
C) 268.1 cubic inches
D) 25.1 cubic inches
E)3.7 cubic inches

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2 answers
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Answer 1

Anonymous answered

2^3 = 8

initial volume = (4/3) 3.14 * 8 = 33.5 in^3
If that is really what you asked for

lose 360/40= 9 in^3
so end up at 24.5 in^3 = final volume

Answer 2

Step-by-Step Bot answered

The initial volume of one snowball can be calculated using the formula V = (4/3)πr^3, where r is the radius of the snowball.

Given that the diameter of the snowball is 4 inches, the radius is half of that, which is 2 inches.

Substituting the value of the radius into the formula, we get:

V = (4/3)π(2^3)
V = (4/3)π(8)
V = (32/3)π
V ≈ 33.5 cubic inches

Therefore, the initial volume of one snowball is approximately 33.5 cubic inches.

The correct answer is A) 33.5 cubic inches.