A cone has a diameter of 18 units and height of 8 units. What is its volume? 72π cubic units 216π cubic units 648π cubic units 8
2 answers:
Answer:
Option (a) is correct.
The volume of given cone is 72π cubic units.
Step-by-step explanation:
Given : A cone has a diameter of 18 units and height of 8 units.
We have to determine the volume of the given cone.
We know Volume of cone =
Where r is radius of cone
h is the height of cone
Given : diameter = 18units so, radius is half of diameter = 9 units
height = 8 units
Substitute, we have,
Volume of cone =
Simplify, we have,
Volume of cone =
Thus, the volume of given cone is 72π cubic units.
Option (a) is correct.
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With the help of the ratio method, we conclude that 72 grams of sugar should be added.
<h3>What is Ratio Method?</h3>- In the ratio method, we compare two quantities by equating their two ratios; this equation is also referred to as a proportion.
- The cross-multiplication method will be used to solve it.
So, 'n=5' will be the number of rings.
- 'w = 18 grams' will be the weight of each ring.
- Total weight: w₀ = n × w = 5 × 18 = 90 grams
Let 's' be silver. Then,
- New weight: wₙ = s + 90
- Old % of gold: p₀ = 90% = 0.9
- New % of gold: pₙ = 50% = 0.5
Now, use the ratio method as follows:
- 90 × 0.9 = 0.5 × (s + 90)
- 81 = 0.5s + 0.5 × 90
- 81 = 0.5s + 45
- 81 - 45 = 0.5s
- 36 = 0.5s
- 36/0.5 = s
- 72 = s
- So, s = 72
Therefore, with the help of the ratio method, we conclude that 72 grams of sugar should be added.
Know more about Ratio Method here:
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The correct question is given below:
A jeweler has five rings, each weighing 18 grams, made of alloys of 10% silver and 90% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 50%. How much silver should he add?