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Nadya [2.5K]
3 years ago
9

13. A cone with a radius of 3 inches and a height of 7 inches has the same radius as a cylinder. If the cylinder's volume is two

times the volume of the cone, what is the height of the cylinder? Use 3.14 for pi​
Mathematics
1 answer:
Ghella [55]3 years ago
3 0

Answer:

Step-by-step explanation:

r = 3 in

h = 7 in

volume of cone = ⅓πr²h = 21π in³

cylinder has radius r = 3 and height h.

volume of cylinder = πr²h = 9πh in³

volume of cylinder is two times the volume of cone

9πh = 2×21π

9h = 42

h = 42/9 = 4⅔ in

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<em><u>Question:</u></em>

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

<em><u>Answer:</u></em>

The actual length of Hector room is 14 foot

<em><u>Solution:</u></em>

Given that, On the floor plan, his bedroom is 3 inches wide and 3\frac{1}{2} inches long

<em><u>The scale of floor plan is given as:</u></em>

\frac{1}{4} \text{ inch} = 1 \text{ foot }

Therefore,

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To find: Actual length of floor

From given question,

length = 3\frac{1}{2} \text{ inches}

Converting the mixed fraction to improper fraction,

length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }

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