Mathematics: The volume of a cone is 35 ft3 and the cone’s height is 7 ft. what is the area of the base of the cone? ft2

The volume of a cone is 35 ft3 and the cone’s height

Ответ:

aletadaboss

31.12.2021

Formula:

V = 1/3 * b * h

Plug in what we know:

35 = 1/3 * b * 7

Multiply 7 * 1/3:

35 = 2 1/3 * b

Multiply:

35 = 2 1/3b

Divide 2 1/3 to both sides:

b = 15

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Ответ:

Frenchfries13

31.12.2021

Mathematics

$The\ volume\ of\ a\ cone:V=\frac{1}{3}\pi r^2 H=\frac{1}{3}A_bH\\\\r-the\ radius\ \\H-the\ height\ of\ the\ cone\\A_b-area\ of\ the\ base\\----------------------\\\\V=35\ ft^3;\ H=7\ ft\\\\therefore\\\\\frac{1}{3}A_b\cdot7=35\\\\\frac{7}{3}A_b=35\ \ \ \ |divide\ both\ sides\ by\ \frac{7}{3}\to multiply\ both\ sides\ by\ \frac{3}{7}\\\\A_b=\frac{35}{1}\cdot\frac{3}{7}=\frac{5}{1}\cdot\frac{3}{1}=5\cdot3=\boxed{15\ (ft^2)}$

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Ответ:

AlwaysMarcus5577

25.08.2020

Mathematics

Hi there!

Let's solve this problem step by step!
$f(x) = \frac{1}{8} (8 {}^{x})$

To find f(3) we must substitute x = 3 into the formula.
$f(3) = \frac{1}{8} (8 {}^{3} )$

Now we use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.

Work out the exponents inside the parenthesis first.
$f(3) = \frac{1}{8} \times 512$

And finally multiply.
$f(3) = \frac{1}{8} \times \frac{512}{1} = \frac{512}{8} = 64$

Hence, the answer is D. 64.
~ Hope this helps you!

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The volume of a cone is 35 ft3 and the cone’s height is 7 ft.
what is the area of the base of the cone?
ft2

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