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3 years ago

What is the volume of a cone with a radius of 12 and a height of 8?

Mathematics

1 answer:

nadya68 [22]3 years ago

8 0

Answer:

Volume of a cone= $\frac{1}{3} \pi r^{2}h$

= $\frac{1}{3}$ × $\frac{22}{7}$ ×144×8

= $\frac{22}{21}$ ×144×8

=1206.86 $cm^{2}$

Step-by-step explanation:

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LUCKY_DIMON [66]

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4 years ago

Two machines can complete 5 tasks every 4 days. Let t represent

Gennadij [26K]

Answer:

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Step-by-step explanation:

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3 years ago

A parabola can be drawn given a focus of (4, -3) and a directrix of y=5 Write the equation of the parabola in any form.

Serggg [28]

Answer:

The equation of the parabola is (x - 4)² = -16(y - 1)

Step-by-step explanation:

The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where

The vertex of the parabola is (h, k)

The focus is (h, k + p)

The directrix is at y = k - p

∵ The focus of the parabola is (4, -3)

∵ The focus is (h, k + p)

∴ h = 4

∴ k + p = -3 ⇒ (1)

∵ It has a directrix of y = 5

∵ The directrix of the parabola is y = k - p

∴ k - p = 5 ⇒ (2)

→ Add equations (1) and (2) to find k and p

∵ (k + k) + (p - p) = (-3 + 5)

∴ 2k + 0 = 2

∴ 2k = 2

→ Divide both sides by 2

∴ k = 1

→ Substitute the value of k in equation (1)

∵ 1 + p = -3

→ Subtract 1 from both sides

∴ 1 - 1 + p = -3 - 1

∴ p = -4

∵ The form of the equation of the parabola is (x - h)² = 4p(y - k)

→ Substitute the values of h, k, p in it

∴ (x - 4)² = 4(-4)(y - 1)

∴ (x - 4)² = -16(y - 1)

∴ The equation of the parabola is (x - 4)² = -16(y - 1)

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3 years ago

Convert the equation you found, T = A3/2, into a form without any rational exponents.

solniwko [45]

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6 0

3 years ago

Read 2 more answers

3 feet of snow fell in 1 2/3 hours. What was that rate in inches per hours?

dalvyx [7]

Answer:

21 $\frac{3}{5}$ in/hr

Step-by-step explanation:

Distance of snow fall = 3ft

Time taken = 1 $\frac{2}{3}$ hrs

Unknown:

Rate of snowfall = ?

Solution:

The rate of the snowfall is the same as the speed of the fall;

Rate of snowfall = $\frac{distance of snowfall}{time}$

Convert the ft to inches;

1ft = 12inches

3ft = 3 x 12 = 36inches

Input the parameters and solve;

Rate of snowfall = $\frac{36}{\frac{5}{3} }$ = 36 x $\frac{3}{5}$ = 21 $\frac{3}{5}$ in/hr

7 0

3 years ago