Answer:
3054
Step-by-step explanation:
The formula for cylinder volume is
V1 = π * r^2 *h
while formula for sphere volume is
V2= 4/3 * π * r^3
Since the height of the cylinder is 12, we can substitute h the equation into
V1 = π * r^2 *12
The volume and radius of the cylinder are the same as the sphere, so we can combine both equations to find r.
V1= V2
π * r^2 *12 = 4/3 * π * r^3
12 = 4/3 * r
r= 12*3/4
r=9
After we find the radius, we can find the sphere volume
V2= 4/3 * π * r^3
V2= 4/3 * π * 9^3
V2= 3053.62 = 3054
<u>360</u>, It doesn't matter the individual side just the sum
$ 9802.9and it said the answer had to be 20 characters long so i wrote this
Answer:
B-is correct
Step-by-step explanation:
y=a(x-h)^2+k
-k -k
y-k=a(x-h)^2
:(x-h)^2 :(x-h)^2
(y-k)/(x-h)^2 =a
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
