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3 years ago

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

3 0

Answer:

32 $\pi$ /3 cm³

Step-by-step explanation:

If the diameter is 4 cm, then the radius is 2 cm.

Use the sphere volume formula:

V = 4/3 $\pi$ r³

Plug in the radius and solve:

V = 4/3 $\pi$ (2)³

V = 4/3 $\pi$ (8)

V = 32 $\pi$ /3

So, the volume of the sphere is 32 $\pi$ /3 cm³

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A container of coffee is 1/6 full. That container contains 2/3 of a pound of coffee write a division expression that represents

Marizza181 [45]

Let us assume total capacity of the container = x pounds.

Container contains 1/6th coffee of total x pounds, that is x/6 pounds.

We also given that 1/6th part is equal to 2/3 of a pound.

So, we could setup an equation now.

x/6 pounds equals 2/3 of a pound.

$\frac{x}{6} = \frac{2}{3}$

Dividing both sides by 1/6, we get

$\frac{x}{6}$ ÷ $\frac{1}{6}$ = $\frac{2}{3}$ ÷ $\frac{1}{6}$ .

Therefore, x = $\frac{2}{3}$ ÷ $\frac{1}{6}$

Division expression that represents the capacity of the container = 2/3 ÷ 1/6.

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3 years ago

9. How many gallons of paint will you need to buy if you are painting a room that is 30 ft by

pentagon [3]

Answer:

To paint the room with dimension 30 ft by 50 ft by 50 ft is 26.67 gallon

Step-by-step explanation:

Given as :

The Length of wall = L = 50 ft

The width of wall = W = 30 ft

The height of wall = H = 50 ft

Each gallon of paints should cover 300 sq feet

Let the amount o gallon required to paint the room = x

SO, Area of four wall = 2 × ( L + W ) × H

Or, Area of four wall = 2 × ( 50 + 30 ) × 50

Or, Area of four wall = 2 × ( 80 ) × 50

SO, Area of four wall = 8000 ft²

∵ To paint 300 sq ft the amount of paint required = 1 gallon

∴ To paint 8000 sq ft the amount of paint required = 26.67 gallon

Hence ,to paint the room with dimension 30 ft by 50 ft by 50 ft is 26.67 gallon answer

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3 years ago

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joja [24]

Answer:

2.82843

Step-by-step explanation:

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