Answer:
V ≈ 68.63 cm³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V =
πr³
the volume of a hemisphere is half the volume of a sphere, so
V =
×
πr³ =
πr³ , then
V =
π × 3.2³
=
π × 32.768
≈ 68.63 cm³ ( to 2 dec. places )
Answer:
diameter 12.81 units to the hundredths
Step-by-step explanation:
Assuming O is the intersection of extensions of PS and QR, at the circumference of T.
PT is chord and TS is perpendicular to PT passing through the centre T. Therefore PS is a perpendicular bisector.
SO = 10/2 = 5
Similarly, RO = 5
Consider right triangle ORT right-angled at R
radius = OT = sqrt(OR^2+RT^2) = sqrt(5^2+4^2) = sqrt(41)
Therefore diameter = 2sqrt(41) = 12.806 (to the third decimal place)
Answer: btw i love candy
Step-by-step explanation:
Answer:
x = 182.53
Step-by-step explanation:
Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x
Let's solve.
✍️Finding the whole side length adjacent to 20°:
Opp = 87
Adjacent length = ? = a

Thus,

Plug in the values

Multiply both sides by a


Divide both sides by tan(20)



Finding the side length adjacent to 57°:
Opp = 87
Adjacent length = ? = b

Thus,

Plug in the values

Multiply both sides by b


Divide both sides by tan(57)



Therefore:
x = a - b
x = 239.03 - 56.50
x = 182.53