21.04.2020

What is the approximate volume of the cone? 22/7 for

. 4

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Mathematics
Step-by-step answer
P Answered by PhD
21 units9702 units³

Step-by-step explanation:

The area of the base is given by the formula ...

  A = πr²

so the radius is ...

  r = √(A/π) = √(1386/(22/7)) = √441 = 21 . . . units

__

The volume is given by ...

  V = (1/3)Bh

where B is the area of the base, and h is the height (equal to the radius). Filling in the numbers, we have ...

  V = (1/3)(1386)(21) = 9702 . . . . cubic units

Mathematics
Step-by-step answer
P Answered by PhD
21 units9702 units³

Step-by-step explanation:

The area of the base is given by the formula ...

  A = πr²

so the radius is ...

  r = √(A/π) = √(1386/(22/7)) = √441 = 21 . . . units

__

The volume is given by ...

  V = (1/3)Bh

where B is the area of the base, and h is the height (equal to the radius). Filling in the numbers, we have ...

  V = (1/3)(1386)(21) = 9702 . . . . cubic units

Mathematics
Step-by-step answer
P Answered by PhD

Radius = 21 units

Volume = 9702 units³

Step-by-step explanation:

The area of the base is given by the formula ... A = πr²

so the radius is ...

  r = √(A/π) = √(1386/(22/7)) = √441 = 21 . . . units

The volume is given by ...V = (1/3)Bh

where B is the area of the base, and h is the height (equal to the radius). Filling in the numbers, we have ...

  V = (1/3)(1386)(21) = 9702 cubic units

Mathematics
Step-by-step answer
P Answered by PhD

Radius = 21 units

Volume = 9702 units³

Step-by-step explanation:

The area of the base is given by the formula ... A = πr²

so the radius is ...

  r = √(A/π) = √(1386/(22/7)) = √441 = 21 . . . units

The volume is given by ...V = (1/3)Bh

where B is the area of the base, and h is the height (equal to the radius). Filling in the numbers, we have ...

  V = (1/3)(1386)(21) = 9702 cubic units

Mathematics
Step-by-step answer
P Answered by PhD
V=1/3(22/7)(9)(14) = 132
Mathematics
Step-by-step answer
P Answered by PhD
V=1/3(22/7)(9)(14) = 132
Mathematics
Step-by-step answer
P Answered by PhD

11.304 cubic inches.

Step-by-step explanation:

Substitute the values of the radius and the height into the expression, and then use the correct order of operations to simplify the expression.

1. Parentheses or Brackets from the inside out

2. Exponents

3. Multiplication and Division from left to right

4. Addition and Subtraction from left to right

Mathematics
Step-by-step answer
P Answered by PhD

11.304 cubic inches.

Step-by-step explanation:

Substitute the values of the radius and the height into the expression, and then use the correct order of operations to simplify the expression.

1. Parentheses or Brackets from the inside out

2. Exponents

3. Multiplication and Division from left to right

4. Addition and Subtraction from left to right

Mathematics
Step-by-step answer
P Answered by PhD

D.

C.

A,B

Step-by-step explanation:

Given:

Diameter of a cone-shaped kitchen funnel = 6 inches

Height of a cone-shaped kitchen funnel = 7 inches

Radius of a cylindrical funnel = 4 inches

Height of a cylindrical funnel = 13 inches

To find: Number of cylindrical funnels required to fill a cone-shaped kitchen funnel

Solution:

Radius of a cone-shaped kitchen funnel (R) = 6/2 = 3 inches

Height of a cone-shaped kitchen funnel (H) = 7 inches

Volume of a cone-shaped kitchen funnel = \frac{1}{3}\pi R^2H=\frac{1}{3}\pi(3)^2(7)=21\pi cubic inches

Radius of a cylindrical funnel (r) = 4 inches

Height of a cylindrical funnel (h) = 13 inches

Volume of a cylindrical kitchen funnel = \pi r^2h=\pi(4)^2(13)=208\pi cubic inches

Number of cylindrical funnels required to fill a cone-shaped kitchen funnel =  9.9≈ 10

Option D. is correct

Given:

Circumference of an orange = 37.68 centimeters

To find: volume of the orange

Solution:

Let r be the radius of the orange

Circumference of an orange = 37.68 centimeters

2\pi r=37.68\\r=\frac{37.68}{2\pi}

Volume of the sphere = \frac{4}{3}\pi r^3

=\frac{4}{3}\pi \left ( \frac{37.68}{2\pi} \right )^3

=\frac{4}{3}\frac{\left ( 37.68 \right )^3}{8(3.14)^2}=904.32 cubic metres

Volume of sphere can be computed using only the radius or using only the diameter.

Option A and B are correct.

For volume of cone, both radius and height are required

Mathematics
Step-by-step answer
P Answered by PhD

D.

C.

A,B

Step-by-step explanation:

Given:

Diameter of a cone-shaped kitchen funnel = 6 inches

Height of a cone-shaped kitchen funnel = 7 inches

Radius of a cylindrical funnel = 4 inches

Height of a cylindrical funnel = 13 inches

To find: Number of cylindrical funnels required to fill a cone-shaped kitchen funnel

Solution:

Radius of a cone-shaped kitchen funnel (R) = 6/2 = 3 inches

Height of a cone-shaped kitchen funnel (H) = 7 inches

Volume of a cone-shaped kitchen funnel = \frac{1}{3}\pi R^2H=\frac{1}{3}\pi(3)^2(7)=21\pi cubic inches

Radius of a cylindrical funnel (r) = 4 inches

Height of a cylindrical funnel (h) = 13 inches

Volume of a cylindrical kitchen funnel = \pi r^2h=\pi(4)^2(13)=208\pi cubic inches

Number of cylindrical funnels required to fill a cone-shaped kitchen funnel =  9.9≈ 10

Option D. is correct

Given:

Circumference of an orange = 37.68 centimeters

To find: volume of the orange

Solution:

Let r be the radius of the orange

Circumference of an orange = 37.68 centimeters

2\pi r=37.68\\r=\frac{37.68}{2\pi}

Volume of the sphere = \frac{4}{3}\pi r^3

=\frac{4}{3}\pi \left ( \frac{37.68}{2\pi} \right )^3

=\frac{4}{3}\frac{\left ( 37.68 \right )^3}{8(3.14)^2}=904.32 cubic metres

Volume of sphere can be computed using only the radius or using only the diameter.

Option A and B are correct.

For volume of cone, both radius and height are required

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