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20.03.2020

Find the volume of a right circular cone that has a height of 17.1 in. And a base with a circumference of 16.3 in. Round you answer to the nearest tenth of a cubic inch

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08.01.2023, solved by verified expert

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Find the volume of a right circular cone that, №12635172, 20.03.2020 01:30

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Mathematics

Find the volume of a right circular cone that has a height of 17.1 in and a base with a circumference of 16.3 in. Round your answer to the nearest tenth of a cubic inch.

Step-by-step answer

P Answered by PhD

Volume of the cone = 120.99inch^2

Step-by-step explanation:

Circumference of the base=16.3 inch

$16.3= 2\pi r$

As, $\pi =\frac{22}{7} =3.14$

$16.3=2*3.14*r\\\\16.3=6.28*r\\\\r=16.3/6.28\\\\r=2.60 inch$

Volume of the right circular cone

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

Volume $=3.14*(2.60*2.60)*\frac{17.1}{3} \\\\=3.14*6.76*5.7\\\\=3.14*38.53\\\\=120.99inch^3$

Mathematics

Find the volume of a right circular cone that has a height of 17.1 in and a base with a circumference of 16.3 in. Round your answer to the nearest tenth of a cubic inch.

Step-by-step answer

P Answered by PhD

Volume of the right circular cone = 1188.79 cubic inches

Step-by-step explanation:

Height of the cone = 17.1 inch

Circumference of the cone= 16.3 inches

Radius = 16.3/2

= 8.15 inch

Volume of the cone is:

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

As, $\pi =\frac{22}{7}=3.14$

Volume of the cone

$=3.14*(8.15*8.15)*\frac{17.1}{3} \\\\=3.14*(8.15*8.15)*5.7\\\\=3.14*66.42*5.7\\\\=3.14*378.59\\\\=1188.79inch^3$

Volume of the right circular cone is 1188.79 cubic inches

Mathematics

Find the volume of a right circular cone that has a height of 17.1 in and a base with a circumference of 16.3 in. Round your answer to the nearest tenth of a cubic inch.

Step-by-step answer

P Answered by PhD

Volume of the cone = 120.99inch^2

Step-by-step explanation:

Circumference of the base=16.3 inch

$16.3= 2\pi r$

As, $\pi =\frac{22}{7} =3.14$

$16.3=2*3.14*r\\\\16.3=6.28*r\\\\r=16.3/6.28\\\\r=2.60 inch$

Volume of the right circular cone

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

Volume $=3.14*(2.60*2.60)*\frac{17.1}{3} \\\\=3.14*6.76*5.7\\\\=3.14*38.53\\\\=120.99inch^3$

Mathematics

Find the volume of a right circular cone that has a height of 11.1 in and a base with a circumference of 17.6 in. Round your answer to the nearest tenth of a cubic inch.

Step-by-step answer

P Answered by PhD

91.1

Step-by-step explanation:

Circumference=17.6

2xπxr=17.6

2x3.14xr=17.6

6.28r=17.6

r=17.6 ➗ 6.28

r=2.8

volume of cone=(πxr^2xh) ➗ 3

Volume=(3.14x(2.8)^2x11.1) ➗ 3

Volume=(3.14x2.8x2.8x11.1) ➗ 3

Volume=273.3 ➗ 3

Volume=91.1

Mathematics

Find the volume of a right circular cone that has a height of 12.1 m and a base with a circumference of 17.7 m. round your answer to the nearest tenth of a cubic meter.

Step-by-step answer

P Answered by PhD

The volume of a right circular cone is

$V=\dfrac{1}{3}\pi r^2\cdot h$ .

If a circumference of a base circle is 17.7 m, then using formula $l=2\pi r$ for circumference of a circle, you can find the radius:

$17.7=2\pi r,\\ \\ r=\dfrac{17.7}{2\pi} =\dfrac{8.85}{\pi}$ .

Then the volume is:

$V=\dfrac{1}{3}\pi r^2\cdot h =\dfrac{1}{3}\pi \left(\dfrac{8.85}{\pi}\right)^2\cdot 12.1=\dfrac{315.90075}{\pi}$ .

Mathematics

Find the volume of a right circular cone that has a height of 12.1 m and a base with a circumference of 17.7 m. round your answer to the nearest tenth of a cubic meter.

Step-by-step answer

P Answered by PhD

The volume of a right circular cone is

$V=\dfrac{1}{3}\pi r^2\cdot h$ .

If a circumference of a base circle is 17.7 m, then using formula $l=2\pi r$ for circumference of a circle, you can find the radius:

$17.7=2\pi r,\\ \\ r=\dfrac{17.7}{2\pi} =\dfrac{8.85}{\pi}$ .

Then the volume is:

$V=\dfrac{1}{3}\pi r^2\cdot h =\dfrac{1}{3}\pi \left(\dfrac{8.85}{\pi}\right)^2\cdot 12.1=\dfrac{315.90075}{\pi}$ .

Mathematics

Find the volume of a right circular cone that has a height of 11.1 in and a base with a circumference of 17.6 in. Round your answer to the nearest tenth of a cubic inch.

Step-by-step answer

P Answered by Specialist

V = 0.8 in^3

Step-by-step explanation:

Formula:

V = πr^2(h/3)

C = 2πr

Given:

h=11.1

C = 17.6

C = 2πr

17.6 = 22πr

0.8/π = r

V = πr^2(h/3)

V = π(0.8/π)^2((11.1)/3)

V = π(0.0648455575)(3.7)

V = 0.8 in^3

Mathematics

Find the volume of a right circular cone that has a height of 11.1 in and a base with a circumference of 17.6 in. Round your answer to the nearest tenth of a cubic inch.

Step-by-step answer

P Answered by PhD

91.1

Step-by-step explanation:

Circumference=17.6

2xπxr=17.6

2x3.14xr=17.6

6.28r=17.6

r=17.6 ➗ 6.28

r=2.8

volume of cone=(πxr^2xh) ➗ 3

Volume=(3.14x(2.8)^2x11.1) ➗ 3

Volume=(3.14x2.8x2.8x11.1) ➗ 3

Volume=273.3 ➗ 3

Volume=91.1

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Find the volume of a right circular cone that has a height of 17.1 in. And a base with a circumference of 16.3 in. Round you answer to the nearest tenth of a cubic inch

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