Question

name: the formula for the following 3 - dimensional object cylinder = cone = sphere = what is the diameter? what is the radius? the following number to the nearest.... 347.851 enths undredths lume of each figure. show all work and round to t cm 9.

Explanation:

Step1: Correct cylinder volume formula

The volume of a cylinder is base area ($\pi r^2$) times height $h$, so formula is $\pi r^2 h$.

Step2: Correct cone volume formula

The cone volume is $\frac{1}{3}$ of cylinder volume with same $r,h$, so $\frac{1}{3} \pi r^2 h$.

Step3: Correct sphere volume formula

Standard sphere volume formula is $\frac{4}{3} \pi r^3$.

Step4: Define diameter relation

Diameter is twice the radius: $d = 2r$.

Step5: Define radius relation

Radius is half the diameter: $r = \frac{d}{2}$.

Step6: Round 347.851 to tenths

Look at hundredths digit (5), round up tenths place: $347.851 \approx 347.9$.

Step7: Round 347.851 to hundredths

Look at thousandths digit (1), keep hundredths place: $347.851 \approx 347.85$.

Answer:

Cylinder = $\pi r^2 h$
Cone = $\frac{1}{3} \pi r^2 h$
Sphere = $\frac{4}{3} \pi r^3$
What is the diameter? $d = 2r$
What is the radius? $r = \frac{d}{2}$
347.851 to nearest tenths: 347.9
347.851 to nearest hundredths: 347.85