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-BARSIC- [3]
2 years ago
12

Select the correct answer.

Mathematics
1 answer:
stich3 [128]2 years ago
8 0

The volume of the container is 5969 cm³. The correct option is D. 5,969 cm³

<h3>Calculating Volume </h3>

From the question, we are to determine the volume of the container

Volume of the container = Volume of the cone - Volume of the small cone

The volume of a cone is given by the formula,

V = 1/3πr²h

Where V is the volume

r is the radius

and h is the height

From the given information,

For the small cone,

Diameter = 10 cm

∴ Radius, r = 10cm/ 2 = 5 cm

h = 6 cm

For the big cone

diameter = diameter of the container = 30 cm

∴ Radius = 30cm/ 2

Radius = 15cm

h = height of small cone + height of container

h = 6 cm + 20 cm

h = 26 cm

Putting the parameters into

Volume of the container = Volume of the cone - Volume of the small cone

We get,

Volume of the container = 1/3π × 15² ×26 - 1/3π × 5² × 6

Volume of the container = 1/3π (15² ×26 -  5² × 6)

Volume of the container = 1/3π (5850 -  150)

Volume of the container = 1/3π (5700)

Volume of the container = 1/3 × π × 5700

Volume of the container = 5969.026 cm³

Volume of the container ≈ 5969 cm³

Hence, the volume of the container is 5969 cm³. The correct option is D. 5,969 cm³

Learn more on Calculating volume here: brainly.com/question/12004994

#SPJ1

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What is the measure of an angle if it is 260 degrees less than six times its own complement?
poizon [28]

Answer:

40 degrees

Step-by-step explanation:

Complementary angles have a sum of 90.

y = 90 - x

The angle is 260 degrees less than six times its complement.

y = 6x - 260

90 - x = 6x - 260

350 - x = 6x

350 = 7x

50 = x

This is the measure of the complement.

y = 90 - x

y = 90 - 50

y = 40

This is the measure of the first angle.

7 0
3 years ago
Evaluate the function found in the previous step at X =-3
babunello [35]
x-5y=-4x-2y

In order to evaluate the given function at x = -3, simply replace "x" in the function with -3 and solve.

-3-5y=-4(-3)-2y

<em>Multiply -4 and -3 in the function above.</em>

-3-5y=12-2y

<em>Add 3 on both sides of the equation.</em>

-3-5y+3=12-2y+3-5y=15-2y

<em>Add 2y on both sides of the equation.</em>

-5y+2y=15-2y+2y-3y=15

<em>Divide both sides of the equation by -3.</em>

\frac{-3y}{-3}=\frac{15}{-3}y=-5

Therefore, at x = -3, the value of y = -5. Hence, f(-3) = -5.

Answer:

f(-3) = -5

<em />

7 0
1 year ago
Find the value of b in the rhombus below
jeka94
The value of b = 26.
8 0
3 years ago
Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
ASHA 777 [7]

Answer:

C

Step-by-step explanation:

If you look on the axis you can solve the problem

7 0
2 years ago
Fine the average of these numbers, 8,12,13,15
GarryVolchara [31]

Answer:

12

Step-by-step explanation:

The average is calculated as

average = \frac{sum}{count} = \frac{8+12+13+15}{4} = \frac{48}{4} = 12

8 0
3 years ago
Read 2 more answers
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