All categories

2 years ago

The base of a cone has a radius of 4 millimeters and the height of the cone is 24 millimeters. What is the volume of the cone?

Mathematics

1 answer:

bixtya [17]2 years ago

7 0

Answer:

The volume of the cone is 128π mm³ ⇒ answer (C)

Step-by-step explanation:

* Lets study the cone

- Its base is a circle

- Its height the perpendicular distance from its vertex to

the center of the base

- The length of its slant height = √(h² + r²)

- The volume of the con is 1/3 the volume of the cylinder

∵ The volume of the cylinder = πr²h

∴ The volume of the cone = (1/3) πr²h

* In our problem:

- r = 4 mm

- h = 24 mm

∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³

* The volume of the cone is 128π mm³

You might be interested in

A student found the slope of a line that passes through the points (3, 15) and (5, 9) to be . What mistake did he make?

Olenka [21]

I hope this helps you

slope=y2-y1/x2-x1

slope=9-15/5-3

slope= -6/2

slope = -3

4 0

2 years ago

Read 2 more answers

Which expression is equivalent to the following expression 3+13+3+13+3+13 : a) 3(13) b) 3(3+13) c)3×13 d) 3(3×13)

Alex Ar [27]

Answer:

The answer is B

Step-by-step explanation:

3+3+3+13+13+13

This is 3 times 3

This is also 3 times 13

Which would be 3(3+13)

8 0

2 years ago

Last year, a large trucking company delivered 5.5x10^5 tons of goods with an average value of $23,000 per ton. What was the tota

AleksandrR [38]

The total value is:
5. 5 x 10 ^5 * 23 x 10^3 =
= $126.5 * 10^8 =
= $1.265 x 10^10
Answer: B )

4 0

2 years ago

Translate the point (5,2)—> 3 units to the left

VladimirAG [237]

Given:

The point (5,-2) is translated 3 units to the left.

To find:

The new location of the point.

Solution:

If a point is translated 3 units to the left, then

$(x,y)\to (x-3,y)$

Using this rule of translation, we get

$(5,-2)\to (5-3,-2)$

$(5,-2)\to (2,-2)$

Therefore, the new location of the point is (2,-2). Hence, the correct option is C.

7 0

2 years ago

lbvjy [14]

The answer of the question is min-jun ran 112 because 14 x 8 4 times 8 equals 32 carry ya 3 1 time 8 equals 8 plus 3 equals 11 so the answer is 112

6 0

1 year ago