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3 years ago

What is the height of a cone with the volume of 90 and an base area of 18

Mathematics

2 answers:

yarga [219]3 years ago

6 0

Answer:

Step-by-step explanation:

Mariana [72]3 years ago

6 0

Answer:

15 units

Step-by-step explanation:

The formula for the volume of a cone is:

V = $\frac{\pi r^{2}h }{3}$

Where V is the volume, r is the radius, and h is the height

Substitute:

90 = $\frac{18h }{3}$

Since the base of a cone is a circle, the base area is $\pi r^{2}$ . This means that 18 can be substituted in the formula for $\pi r^{2}$ .

Solve:

90 = $\frac{18h }{3}$

Multiply by 3 on both sides:

90 = $\frac{18h }{3}$

3(90) = ( $\frac{18h }{3}$ )3

270 = 18h

Divide by 18 on both sides:

270 = 18h

/18 /18

15 ≈ h

Therefore, the height of the cone is 15 units.

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Which is the equation in slope-intercept form for the line that passes through (3, 7)

quester [9]

Answer:

$y = - \frac{5}{3} x + 12$

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

$y = \frac{3}{5} x - \frac{8}{5}$

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= $- \frac{5}{3}$

$y = - \frac{5}{3} x + c$

To find the value of c, substitute a coordinate.

When x=3, y=7,

$7 = - \frac{5}{3} (3) + c$

7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is $y = - \frac{5}{3} x + 12$ .

6 0

2 years ago

Find the inverse of the given relation.

Greeley [361]

Answer:

Step-by-step explanation:

first look at all the numbers in the relation.then since inverse means opposite find the answers where the numbers in the parenthesis are in the opposite order than the question. Finally look for the answer In which all the positive numbers in the parenthesis(in the given relation) are negative (on the answers)and the negative numbers (in the given relation) are positive (on the answers).

4 0

3 years ago

X2+7x-8 please factor

vova2212 [387]

$x^2+7x-8=x^2+8x-x-8=x(x+8)-1(x+8)=(x+8)(x-1)$

8 0

3 years ago

65. Evaluate a-b+c for?

Rama09 [41]

Answer:

From the problem, the answer to the equation is 5 1/10

Step-by-step explanation:

First, let's gather the information from the problem.

a = 4 1/5 (also can be turned into 21/5)

b = 2 7/20 (also can be turned into 47/20)

c = 3 1/4 (also can be turned into 13/4)

Now, plug in the numbers using the improper fractions.

21/5 - 47/20 + 13/4

Turn the denominators into the same number.

84/20 - 47/20 + 65/20

Subtract 84/20 and 47/20.

37/20 + 65/20

Add 37/20 and 65/20.

102/20 or 5 1/10

So, your answer to this equation is 5 1/10.

7 0

3 years ago

Read 2 more answers

June starts a savings account and puts $1,500 in it. She ears a compound interest of 3% in 3 years. How much is the balance?

MrMuchimi

Answer:

$1,635

Step-by-step explanation:

she makes $45 a year so if you multiply that by 3 you get $135

6 0

2 years ago