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2 years ago

9

Consider this sphere inside the cylinder. A sphere is inside of a cylinder with a same radius and height. Which statements are t

rue? Check all that apply. The height of the cylinder is equal to the diameter of the sphere. The height of the cylinder is two times the diameter of the sphere. The radius of the sphere is half the height of the cylinder. The diameter of the sphere is equal to the radius of the cylinder. The volume of the sphere is two-thirds the volume of the cylinder.

2 answers:

sashaice [31]2 years ago

8 0

Answer:

A,C,E

Step-by-step explanation:

GuDViN [60]2 years ago

8 0

Answer:

A,C,E

Step-by-step explanation:

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Solve ABC <br>c=10, B=35°, C=65%

NISA [10]

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

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