The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in cubic
units?
1. 2/3 pix^3
2. 4/3 pix^2
3. 2pix^3
4.4pi x^3

The correct answer is option 1. cubic units.

Step-by-step explanation:

The formula for the volume, V of a right angled cone is given as:

Where,

is the radius of the circular base of the cone.

is the height of the cone.

We are given that height is twice of the radius of its base.

Let the radius of base = units

Now, As per the question statement,

The height of cone= units

Putting the values of in equation (1) to find the volume:

Hence, the correct answer is option 1. cubic units.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

0.02040816326