the total surface of a solid hemisphere is 75 times the area of acircle whose diameter is 6cm what is the radius of hemisphere
Answers
Step-by-step explanation:
see attached file for your answer
Mark me brainlist
Given :- The total surface of a solid hemisphere is 75 times the area of a circle whose diameter is 6cm what is the radius of hemisphere ?
Solution :-
Let us assume that, radius of hemisphere is x cm.
we know that,
- Total surface of hemisphere is = 3πr² .
- Area of a circle = π * (radius)² .
- radius of circle = diameter /2 = 6 /2 = 3 cm.
given that,
→ Total surface of hemisphere = 75 * area of circle
Putting values now we get,
→ 3πr² = 75 * π * (3)²
3π will be cancel from both sides,
→ r² = 75 * 3
→ r² = 25 * 3 * 3
→ r² = (5² * 3²)
→ r² = (5*3)²
→ r² = (15)²
square root both sides,
→ r = 15cm. (Ans.)
Hence, radius of hemisphere is 15cm.
Learn more :-
from a solid cylinder whose height is 3.6 cm and diameter 2.1 CM a conical cavity of the same height and the same diamet...
https://brainly.in/question/24336372
A hemisphere of radius 21 cm is completely filled with milk. There is a hole in
the bottom whose radius is 0.1 cm. If ra...
https://brainly.in/question/25349591