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4 years ago

The radius of the cone is 3 in and y = 5 in. What is the volume of the cone in terms of π?

Mathematics

2 answers:

ivann1987 [24]4 years ago

8 0

Answer: The answer is A) 12π in^3

Tcecarenko [31]4 years ago

6 0

Answer:

12π in³

Step-by-step explanation:

The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...

r² + x² = y²

x = √(y² -r²) = √(25 -9) = 4 . . . inches

The formula for the volume of a cone is ...

V = (1/3)πr²h . . . . . . . . h is the height, what you call x

Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...

V = (1/3)π(3 in)²(4 in) = 12π in³

The volume of the cone is 12π cubic inches.

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A right triangle is displayed.

Mazyrski [523]

Answer:

You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.

5 0

3 years ago

26. A book costs sh. (x - 300) and a pen costs sh (x + 100). If Ndagire pad sh. 3300 for 3 books and 2 pens, how much did she pa

saul85 [17]

Answer:

500 and 900

Step-by-step explanation:

3(x - 300) + 2(x + 100) = 3300 ← distribute parenthesis

3x - 900 + 2x + 200 = 3300

5x - 700 = 3300 ( add 700 to both sides )

5x = 4000 ( divide both sides by 5 )

x = 800

Then

cost of book = x - 300 = 800 - 300 = 500

cost of pen = x + 100 = 800 + 100 = 900

7 0

2 years ago

PLEASE help with these math questions

kaheart [24]

1. C
2. A
3. D
4. 62/25
5. 4/33

By the way it is not fair. posting 5 sums for just 7 points. :)

anyway, if it helped u
do click thx.

3 0

3 years ago

The escalator rises 25° from the ground and a vertical distance of 42 feet. How much horizontal distance does the escalator cove

zvonat [6]

Tangent (25) = opp / adj = 42 / horizontal distance
horizontal distance = 42 / tangent (25)
horizontal distance = 42 / 0.46631
horizontal distance = 90.068838326435200 
horizontal distance = 90.1 feet

5 0

3 years ago

V=pi r^2 h solve for pi please help asap will mark brainliest

kogti [31]

Answer:

$\pi=\frac{v}{hr^2}$