Question

If the diameter of a youth softball is 3.5 inches and the diameter of an adult softball is 3.8 inches, what is the approximate difference in their volumes? Use 3.14 for . Round to the nearest tenth of a cubic inch. Recall the formula . 6.3 cubic inches 51.1 cubic inches 67.0 cubic inches 409.2 cubic inches

Answer 1

Answer:

6.3 have a good day

Step-by-step explanation:

Answer 2

The approximate difference in the softballs volumes is 6.3 cubic inches. The correct option is the first option-  6.3 cubic inches

Calculating volume of a sphere

From the question, we are to determine the difference in the volumes of the softballs

Let r represent the radius of the youth softball

and R represent the radius of the adult softball

The difference in volume will be

$V = \frac{4}{3}\pi (R^{3}-r^{3})$

From the given information,

Diameter of the youth softball is 3.5 inches

∴ r = 3.5 / 2 = 1.75 inches

Diameter of the adult softball is 3.8 inches

∴ R = 3.8 / 2 = 1.9 inches

Now, put the parameters into the equation

$V = \frac{4}{3}\pi(1.9^{3}-1.75^{3})$

$V = \frac{4}{3}\times 3.14 \times 1.4996$

V = 6.278325

V ≅ 6.3 cubic inches

Hence, the approximate difference in the softballs volumes is 6.3 cubic inches. The correct option is the first option-  6.3 cubic inches

Learn more on Calculating the volume of a sphere here: https://brainly.com/question/1832322

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