All categories

3 years ago

the altitude of a right circular cone is 8cm and the radius of the base is 6cm what is its total surface area

Mathematics

1 answer:

frosja888 [35]3 years ago

6 0

Answer:

301.44 cm ^ 2

Step-by-step explanation:

We have that the total surface area of a cone would be the sum of the base area and the lateral surface area.

the area of the base, being a circle is pi * r ^ 2

the lateral area would come being the multiplication between the inclined height, the radius and the number pi, that is to say pi * r * l

the inclined height is calculated using the Pythagorean theorem, the legs being the radius and the altitude, thus:

l ^ 2 = 6 ^ 2 + 8 ^ 2

l ^ 2 = 100

l = 10

Therefore, we can replace:

A = 3.14 * 6 ^ 2 + 3.14 * 10 * 6

A = 301.44

It means that the total surface area is 301.44 cm ^ 2

You might be interested in

Which ordered pair is the solution to the system of equations?

kozerog [31]

The answer and process is shown in the following picture

8 0

3 years ago

4x+y=25 x- 3y=16 Simultaneous equation

Lerok [7]

you change the y to have it y=3x+16 and same with the other one i think

7 0

4 years ago

I have a vase that is shaped like a rectangular prism. The height is 10 inches. The length of the base is 6 inches. The width of

Keith_Richards [23]

Answer:

$200in^3$

Step-by-step explanation:

To solve this, we are using the formula for the volume of a rectangular prism:

$V=whl$

where

$w$ is the width of the base

$l$ is the length of the base

$h$ is the height of the prism

We know from our problem that the height is 10 inches. The length of the base is 6 inches. The width of the base is 5 inches.

Replacing values

$V=(5in)(10in)(6in)$

$V=300in^3$

Now, to find 2/3 of that volume, we just need to multiply it by 2/3

$\frac{2}{3} V=\frac{2}{3} 300in^3$

$\frac{2}{3} V=200in^3$

We can conclude that 2/3 of the volume of the vase is 200 cubic inches.

8 0

3 years ago

Find the x and y-intercepts of the following:

svet-max [94.6K]

Answer:

x-intercept (-3,0); y-intercept (0,12)

Step-by-step explanation:

To find the x-intercept --> y should equal 0

8x-2(0)=-24 substitute

8x=-24 divide

x=-3 (-3,0)

To find they-intercept --> x should equal 0

8(0)-2y=-24 substitute

-2y=-24 divide

y=12 (0,12)

5 0

3 years ago

The front row in a movie theatre has 23 seats. If you were asked to sit in the seat that occupied the median position, in which

Harrizon [31]

Answer:

Step-by-step explanation:

The median is the one in the middle. For an odd number of seats, average the first and last seat numbers.

(1 + 23) / 2 = 24 / 2 = 12. That means there will be 11 people on your left and 11 people on your right.

For an even number of seats, the same method doesn't work as well! If there are 14 seats, for example, (1 + 14) / 2 = 15 / 2 = 7.5, and if you sit in "seat" 7 and a half, it will be awkward!

4 0

3 years ago

Read 2 more answers

the altitude of a right circular cone is 8cm and the radius of the base is 6cm what is its total surface area​

the altitude of a right circular cone is 8cm and the radius of the base is 6cm what is its total surface area