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3 years ago

What is the volume of a sphere with a radius of 3 inches?

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

Answer:

36π cubic inches

Step-by-step explanation:

V = 4/3 πr³

radius (r): 3

= 4/3π(3)³

= 4/3π (27)

= 36π

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Henry recorded how many pounds of fruits and vegetables his

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3 years ago

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A submarine lies 3 kilometers from the path of a target ship. The sub’s torpedoes have a range of 5 kilometers. For what distanc

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The distance along the path of the ship be within the range of the torpedoes is 4 kilometers.

Explanation:

The submarine lies 3 km from the target ship.

Let B denotes the target ship and C denotes the submarine.

Let AC denotes the the target ship would be within the range of the torpedoes.

The image attached below illustrates that the distance between submarine and the target ship and the range of the torpedoes.

Let BC denotes the distance between the target ship and the submarine. Let AC denotes the range of the torpedoes.

To determine the length of AB, let us use Pythagorean theorem,

$AC^{2} =AB^{2} +BC^{2}$

Substituting the values of BC = 3 and AC = 5, we have,

$5^{2} =AB^{2} +3^{2}$

Squaring the terms, we get,

$25 =AB^{2} +9$

Subtracting both sides by 9, we have,

$16 =AB^{2}$

Taking square root on both sides,

$AB = 4$

Thus, the distance along the path of the ship be within the range of the torpedoes is 4 kilometers.

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4 years ago

A worker at a mill is loading 5-lb bags of flour into boxes to deliver to a local warehouse. Each box holds 12 bags of flour. If

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You would need 50 boxes

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3 years ago

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PLEASE SOLVE THeSE QUESTIONS

g100num [7]

Heya!

Question #15:

To find the perimeter of the object, you can count the amount of squares that are on the outside of the object. After you country all around the object, the perimeters is 22 units (Option D)

Question #16:

Since we know the total perimeter, we can divide by the amount of sides a hexagon has because all of the sides are the same length. A hexagon has 6 sides. 42 / 6 = 7 inches (Option A)

Question #17:

To calculate the perimeter of the rectangle, you can add all the sides together. First, find common denominators.

6 1/2 = 6 2/4 and 3 1/4

Now, add all the sides together.

6 2/4 + 6 2/4 + 3 1/4 + 3 1/4 = 19 1/2 cm (Option B)

Question #18:

We can find the perimeter of the semi circle and square separately. Only take the perimeter of the square using 3 sides since the fourth sides is in the semi circle.

8 + 8 + 8 = 24 inches

Circumference of a semi circle formula: C = πd

C = (3.14)(8)

C = 25.12

Now, add both perimeters together.

24 + 25.12 = 49.12 inches (Option D)

Best of Luck!

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3 years ago

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A tree cast a shadow that is 20 feet long. Frank is 6 feet tall, and while standing next to the tree he cast a shadow that is 4

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A. So we know that a 6 foot figure casts a shadow 4 feet long. 4 foot shadow x 5 = a 20 foot shadow. So this means we take 6 x 5 = 30, and the tree is 30 feet tall.
B. 30 - 6 = 24 feet taller than Frank

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3 years ago

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