Question

can you answer each question and type the correct code? please remember to type in all caps with no spaces.
puzzle #3
answer choices
a: 5428.1 b: 523.6 c: 603.8
d: 314.2 e: 7238.2 f: 392.7
g: 585.9 h: 371.4 i: 1809.6
round to the nearest tenth
type the 4 - letter code into the answer box. all caps, no spaces.
1 if the radius of the small sphere is 5 cm, find its surface area in cm².
2 whats the small spheres volume, in cm³?
3 if the radius of the large sphere is 12 cm, find its surface area in cm².
4 whats the large spheres volume, in cm³?

Explanation:

Step1: Calculate the surface area of the small sphere

The formula for the surface area of a sphere is \(A = 4\pi r^{2}\). Given \(r = 5\) cm, \(A=4\pi\times5^{2}=4\pi\times25 = 100\pi\approx 314.2\) (matches option D).

Step2: Calculate the volume of the small sphere

The formula for the volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Given \(r = 5\) cm, \(V=\frac{4}{3}\pi\times5^{3}=\frac{4}{3}\pi\times125=\frac{500\pi}{3}\approx 523.6\) (matches option B).

Step3: Calculate the surface area of the large sphere

Using the surface - area formula \(A = 4\pi r^{2}\) with \(r = 12\) cm, \(A=4\pi\times12^{2}=4\pi\times144 = 576\pi\approx 1809.6\) (matches option I).

Step4: Calculate the volume of the large sphere

Using the volume formula \(V=\frac{4}{3}\pi r^{3}\) with \(r = 12\) cm, \(V=\frac{4}{3}\pi\times12^{3}=\frac{4}{3}\pi\times1728 = 2304\pi\approx 7238.2\) (matches option E).

Answer:

DBIE