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kvv77 [185]
2 years ago
9

The ice cream parlor serves spherical scoops of ice cream with a radius of 1 in. What is the approximate volume of 2 scoops of i

ce cream? (Use 3.14 as an approximation of pi.)
Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
6 0

Answer: 8.37 in³

Step-by-step explanation:

Given the following :

Shape of icre cream scoop = sphere

Radius (r) = 1 inch

Volume of a scoop of icecream = volume of sphere :

4/3πr³

(4/3) × 3.14 × 1³

1.333 × 3.14 × 1

= 4.1867 in³

Hence, the volume of 2 scoops of ice cream will be :

2 × ( volume of a scoop of ice cream)

(2 × 4.1867) in³

= 8.37 in³

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This is an incomplete question, here is a complete question.

What is a peregrine falcon's maximum speed while diving to catch prey 200 miles per hour in feet per second? (Round your answer to the nearest whole number. (1  mile = 5280 feet)

Answer : The speed in feet per second is, 293 feet/s

Step-by-step explanation :

As we are given that the speed of peregrine falcon's is 200 miles per hour. Now we  have to determine the speed in feet per second.

As we know that:

1  mile = 5280 feet

1 hour = 3600 second

So,

1 mile/hr = 1.4667 feet/s

As, 1 mile/hr = 1.4667 feet/s

So, 200 mile/hr = \frac{200\text{ mile/hr}}{1\text{ mile/hr}}\times 1.4667\text{ feet/s}

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Therefore, the speed in feet per second is, 293 feet/s

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To find the measure of ∠A in ∆ABC, use the___(Pythagorean Theorem, Law of Sines, Law of Cosines). To find the length of side HI
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<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use

we know that

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in this problem we have

\frac{a}{sin\ A}=\frac{b}{sin\ theta}\\ \\a*sin\ theta=b*sin\ A\\ \\ sin\ A=\frac{a*sin\ theta}{b} \\ \\ A=arc\ sin (\frac{a*sin\ theta}{b})

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Law of Sines

<u>Part 2) </u>To find the length of side HI in ∆HIG, use

we know that

In the triangle HIG

Applying the law of cosines

g^{2}=h^{2}+i^{2}-2*h*i*cos\ G

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HI^{2}=h^{2}+i^{2}-2*h*i*cos\ Beta

HI=\sqrt{h^{2}+i^{2}-2*h*i*cos\ Beta}

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Answer:

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Answer:

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If the weight increased 2.5 times, the relation between the speeds will be 1/2.5, so:

S3 / S = 1 / 2.5

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