Answer:
The correct option is;
Yes, his calculations are correct and the volumes for figures are equal
Step-by-step explanation:
The volume, V, of a square (of side s) pyramid of height h = 
Where:
s = 9.7 inches
h = 9 inches
We have;
The volume, 
, of a cylinder of radius r = Base area × Height, h = (π×r²)×h
Where:
Base area = π×r²
r = Radius of the cylinder = 5.47 inches
h = Height of the cylinder = 3 inches
= π × 5.47² × 3 = π × 29.9209 × 3 = π × 89.7627 = 281.998 ≈ 282 m³
Therefore, Jude is correct.
For every one it goes up once, one is added
Answer:
91.6 km/h
Step-by-step explanation:
Let v = average speed of van = 65 km/h and v' = average speed of car. Let t be the time the car starts to move. The van started 35 minutes earlier at t' = (t + 35/60) h.
Since distance d = vt where v = velocity and t = time, the distance moved by the van d = vt' = v(t + 35/60) and that moved by the car is d' = v't.
Since the car catches up with the van after it had moved a distance of 130 km, d = d' = 130 km.
So d = v(t + 0.583)
Substituting d = 130 km and v = 65 km/h, we have
130 km = 65 km/h(t + 0.583)
130 km = (65t + 37.895 )km
subtracting 37.895 from both sides, we have
130 km - 37.895 km = 65t
92.105 = 65t
dividing both sides by 65, we have
t = 92.105/65
= 1.417 h
≅ 1.42 h
Since d = d' = v't,
v' = d'/t
= 130 km/1.42 h
= 91.55 km/h
≅ 91.6 km/h
So, the average speed of the car is 91.6 km/h
