Complete Question
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10 cm, and the base has a diameter of 12 cm. The cooler has 16,956 cm³ of water in it. How many cups can be filled from the cooler?
Answer:
45 paper cups
Step-by-step explanation:
Step 1
We have to find the volume of the paper cups.
The paper cup is shaped like a cone
Hence, Volume of a cone(paper cup) = 1/3πr²h
π = 3.14
Height = 10 cm
Diameter = 12 cm
Radius = Diameter/2 = 12cm/2 = 6cm
Hence,
Volume = 1/3 × 3.14 × 6² × 10
= 376.8 cm³
Step 2
How many cups can be filled from the cooler?
The cooler contains initially = 16,956 cm³ of water
Hence, the number of cups that can be filled from the cooler is calculated as:
Volume of cooler/Volume of paper cup
= 16,956cm³/376.8 cm³
= 45 paper cups
Therefore, 45 paper cups can be filled from the cooler.
I think it’s A. If not, then B.
Answer:
The answer is option 3.
Step-by-step explanation:
You have to substitute H+=2×10^(-9) into the equation of pH :
pH = -log[H+]
H+ = 2×10^(-9)
pH = -log[2×10^-9]
= 8.70 (3s.f)
1. AB/EF = P(ABCD)/P(EFGH)
4/5=16/P(EFGH)
P(EFGH)=5*16/4=5*4=20
2. V(old)=lwh =
V(new)=2*l*2*w*2*h =2³(lwh)=2³*V(old)= 8*3600=28800
3. A(old)=ab
A(new)=5a*5b=25ab=25A(old)
new area will be 25 times larger