Answer:
2 times as large
Step-by-step explanation:
For the original cylinder, we can say that the volume of a cylinder is equal to V= πr²h. For this cylinder, we can say that V = π * radius² * height. The radius is equal to 1/2 of the diameter, so the original radius is 8/2 = 4. Therefore, the volume of the original cylinder is V = π * radius² * height = π * 4² * 8 = π * 16 * 8 = π * 128
For the new cylinder, "twice as wide" means that the diameter is twice as big as the original one. Half the height means that the height is halved. The new diameter is therefore 8 * 2 = 16 (meaning that the new radius is 16/2=8) while the new height is 8/2 = 4. The new volume is thus
V = π * radius² * height = π * 8² * 4 = π * 64 * 4 = π * 256
To see how much larger the new tank volume is, we can divide (new tank volume) by (old tank volume), resulting in
π * 256 / (π *128) = 2
Answer:
One fourth of the caps are blue with tassels.
Step-by-step explanation:
Take 7/11 of the caps with tassels, which boils down to (7/11)(11/28), or 1/4.
One fourth of the caps are blue with tassels.
Answer:
concave polygones
Step-by-step explanation:
The value of x is 84°.
Solution:
Measure of intercepted arc = 168°
Measure of angle x = ?
<u>Tangent-chord relationship:</u>
<em>If a tangent and a chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.</em>


The value of x is 84°.