All categories

3 years ago

What is the volume of the figure

Mathematics

1 answer:

Rufina [12.5K]3 years ago

4 0

Answer:

2411.52 cm³

Step-by-step explanation:

V = (2/3)πr³ Use the equation for volume of a hemisphere

V = (2/3)(3.14)(8)³ Simplify the exponent

V = (2/3)(3.14)(512) Multiply

V = 1071.79 cm³

V = πr² h/3 Now find the volume of the cone

V = (3.14)(8)²(20/3) Simplify the exponent

V = (3.14)(64)(20/3) Multiply

V = 1339.73 cm³

Add both of the volumes together to get the volume of the figure.

1071.79 + 1339.73 = 2411.52 cm³

If this answer is correct, please make me Brainliest!

You might be interested in

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

GrogVix [38]

First find the slope of the given line like this:
$5x + 2y = 12\\2y=-5x+12\\y=\frac{-5}{2}x+6$
If two lines are parallel, then they have the same slope, so the equation we are looking for is in the form:
$y=\frac{-5}{2}x+a$ and we have to find b using the given point like this:
Substitute x = -2 and y=4 in the above equation like this and solve for a:
$4=\frac{-5}{2}(-2)+a$
$4=5+a$
$a=4-5=-1$
The equation of the line is then the following:
$y=\frac{-5}{2}x-1.$

3 0

3 years ago

Read 2 more answers

Equilateral, isosceles, and scalene are ways in which you can classify triangles by their ___.

NeX [460]

Answer:

b sides

Step-by-step explanation:

the sides will have markings so you wont need the specific angles

8 0

3 years ago

Hypotenuse Math. 15 Points.

Rina8888 [55]

Using the Pythagorean theorem:

a^2 + b^2 = c^2

A and B are the sides and c is the hypotenuse.

4^2 + 5^2 = c^2

Simplify:

16+25 = c^2

41 = c^2

Take the square root of both sides:

c=√41

4 0

3 years ago

Read 2 more answers

Check My answers!! Algebra

9966 [12]

1.) 4 - t = 3(t - 1) - 5
4 - t = 3t - 3 - 5
4 - t = 3t - 8
3t + t = 4 + 8
4t = 12
t = 12/4 = 3

2.) 8x - 2(x + 1) = 2(3x - 1)
8x - 2x - 2 = 6x - 2
6x - 2 = 6x - 2
0 = 0
solution is identity.

3.) 3(c - 2) = 2(c - 6)
3c - 6 = 2c - 12
3c - 2c = -12 + 6
c = -6

4.) 0.5(m + 4) = 3(m - 1)
0.5m + 2 = 3m - 3
3m - 0.5m = 2 + 3
2.5m = 5
m = 5/2.5 = 2
m = 2

5 0

3 years ago

Here's a graph of a linear function. Write the equation that describes that function.

Nataly [62]

Y=1/4x+3 i think is the right answer because your y-intercept is 3 and you go up one and over 4

7 0

3 years ago