Answer:
Volume of the smaller cone = 8.34 cm³
Step-by-step explanation:
"If two figures are similar, their dimensions will be proportional.
Following this rule,
Ratio of the dimensions of two cones = 
= 
= 
= 2.5
Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".
Ratio of the volumes = (ratio of the dimensions)³
= 8.384 cm³
≈ 8.4 cm³
Therefore, volume of the smaller cone is 8.4 cm³.
Time=(distance)/(speed)
speed=55 mi/hr
Total distance=440 miles
Distance covered=275 miles
remaining distance=440-275=165 miles
Time taken to cover the remaining distance will be:
time=165/55=3 hours
Total time taken to travel=440/55=8 hours
if we are to use the equation given by:
55h+275=440
time taken will be found by solving for h, thus we shall have:
55h=440-275
55h=165
h=165/55
h=3 hours
Answer: 3 hours
The standard deviation for the set of number will be found as follows:
mean=(<span> 29 + 36 + 41 + 53 + 45 + 30 + 60</span>)/5=294/7=42
next:
sum of (x-mean)^2=[(29-42)^2+(36-42)^2+(41-42)^2+(53-42)^2+(45-42)^2+(30-42)^2+(60-42)^2]
=804
thus the variance will be:
var=(804)/(7-1)=134
thus the standard deviation will be:
σ=√134=11.576
The factors are 6 and x+5
