Question

If S = 2(3.14r^2 + 3.14rh), then determine the value of S, to the nearest tenth, if r = 4 and h = 5.

a. 377.2
b. 150.8
c. 251.2
d. 125.6

Answer 1

After substituting r = 4 and h = 5 into the given formula for S and performing the calculations, S is found to be approximately 226.1 when rounded to the nearest tenth. None of the provided options exactly match this calculated value.

Step-by-step explanation:

If S = 2(3.14r^2 + 3.14rh), we need to determine the value of S when r = 4 and h = 5. Substituting these values into the formula, we get:

S = 2(3.14 × 4^2 + 3.14 × 4 × 5)

S = 2(3.14 × 16 + 3.14 × 20)

S = 2(50.24 + 62.80)

S = 2(113.04)

S = 226.08

When rounded to the nearest tenth, S is approximately 226.1. Therefore, the closest option to our calculated value is Option C: 251.2, but we must acknowledge that none of the provided options exactly match the calculated value of S.