We know that
[surface area of sphere]=4πr²
[surface area of hemisphere]=2πr²
(sphere)
r=12 in
[surface area of sphere ]=4π12²--------> 576π in²
(hemisphere)
r=12 in[surface area of hemisphere ]=2π12²--------> 288π in²
[the ratio of the surface area of sphere to the surface area of hemisphere]
=576π/288π-------> 2
the answer is
the ratio is 2
Answer:
Step-by-step explanation:
<u>Let the area of initial square is x, then shaded squares will have area as geometric sequence:</u>
The first term is x, the common ratio is 1/4
<u>Sum of infinite GP is:</u>
<u>By substituting values we get:</u>
- S = x/(1 - 1/4) = x / (3/4) = 4x/3
Answer:
2 1/6
Step-by-step explanation:
1. Rewrite your equation with all parts seperated.
1 and 1/2 + 2/3 becomes 1 + 1/2 + 2/3.
2. Solve your fraction parts first.
To solve these, find the LCD (Least Common Denominator) between your fraction parts (1/2 + 2/3). The least common denominator for 2 and 3 is 6.
3/6 + 4/6 = 7/6
3. Simplify your fraction part.
This is when you want to simplify into a mixed number. 7/6 becomes 1 1/6.
4. Seperate your fraction parts again, but add the whole numbers this time.
1 + 1 + 1/6 = 2/6, giving you your final answer.