Answer:
92.11 cm³
Step-by-step explanation:
The figure below;
- Has two hemispheres, and
- An open cylinder
- The radius of the hemisphere is 2 mm
- The height of the cylinder is 6 mm (10 mm - 4 mm)
We are required to determine the volume of the figure;
The volume of a hemisphere is given by;
Volume hemisphere = 2/3πr³
Taking π to be 3.14
The Volume of the two hemisphere;
= 2/3 × 3.14 × 2³
= 16.75 cm³
Volume of the cylinder;
Volume = πr²h
= 3.14 × 2² × 6
= 75.36 cm³
Thus, volume of the figure;
= 16.75 cm³ + 75.36 cm³
= 92.11 cm³
Hence, the volume of the figure is 92.11 cm³
Answer:
45
Step-by-step explanation:
((100-25)/100)× 60 is the correct answer
Answer:
82 is 42 degrees warmer than 40
Step-by-step explanation:
if you subtract 40 from 82, you get 42 meaning that the answer will be 42 degrees more than 40
The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
Learn more about geometric progression here:
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The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term