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 )
Hi there!
Use the Pythagorean theorem to find the length of the line.
If we draw an imaginary right triangle using the given line as the hypotenuse, we can derive a height of 6 units and a length of 10 units.
Use the Pythagorean theorem equation:
c² = a² + b²
Plug in the height and length:
c² = 6² + 10²
Simplify:
c² = 36 + 100
c² = 136
Take the square root of both sides:
c = √136. The correct answer is D.
Answer:
Option (B)
Step-by-step explanation:
Given sequence is 45, 135, 405, 1215, 3645..........
Since it's a geometric sequence,
Common ratio of each successive term to the previous term
r =
First term of the sequence 'a' = 45
Explicit formula of a geometric sequence will be,
Recursive formula of this sequence will be,
,
Therefore, Option (B) will be the answer.