The small pipe has a radius of 18 feet and a height of 21 feet while the large pipe has a height of 28 feet. What is the volume of the large pipe in terms of π?

Question

ash2326 · Answer

@MykalStudy12 Is there a diagram?

anonymous · Answer

5,376π ft3
 







6,804π ft3
 







16,128π ft3
 







18,432π ft3

campbell_st · Answer

the ratio of the linear measurement  is 21:28  or 3:4   or 1:(4/3)

the volume of the small pipe is 


$$V = \pi \times18^2 \times 28$$

$$V = 6804 \pi$$

for linear ratios and volume, raise each term to the power of 3

$$(1)^3: (\frac{4}{3})^3 = 1: \frac{64}{27}$$

so the volume of the larger pipe is

$$V = 6804 \pi \times \frac{64}{27}$$

I'll let you evalute it.

the alternate method if to just use the linear ratio 3:4

to find the radius of the larger pipe... 

18: x = 3:4