The height of a cylinder is equal to the diameter of the base. what expression represents the volume of the cylinder, in cubic units?

4πx2
2πx3
πx2 + 2x
2 + πx3

The volume of the cylinder will be 2π

As shown in figure, R is the base radius of the cylinder.

H is the height of the cylinder.

Given: H = diameter of the base of cylinder.

Now, diameter of the base = 2R

So, H = 2R

Volume of cylinder = π××H

                                  = π××(2R)

                                  = 2 π  cubic units.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.