The ratio of the radius and height of a cylinder is 2:3. If its volume is 12,936 cm3, find the total surface area of the cylinder
Answers
Answer: -- PLEASE MARK MY ANSWER AS BRAINLIEST !!!!!--
Let the radius be 2x and height be 3x.
Volume = (22/7) r²h = 12936
(22/7) (2x)² (3x) = 12936
(22/7)*(4x)² *(3x) = 12936
(22/7)*(12x³) = 12936
(264x³) = 12936*7
x³ = 343
x = 7
Radius = 2x = 2*7 = 14cm
Height = 3x = 3*7 = 21cm
Total Surface Area = 2*(22/7)r * (r+h)
= 2*(22/7)*14 * (14+21)
= 88*35
= 3080cm²
Hope it helps you.....
-- PLEASE MARK MY ANSWER AS BRAINLIEST !!!!!--
Answer: -- PLEASE MARK MY ANSWER AS BRAINLIEST !!!!!--
Let the radius be 2x and height be 3x.
Volume = (22/7) r²h = 12936
(22/7) (2x)² (3x) = 12936
(22/7)*(4x)² *(3x) = 12936
(22/7)*(12x³) = 12936
(264x³) = 12936*7
x³ = 343
x = 7
Radius = 2x = 2*7 = 14cm
Height = 3x = 3*7 = 21cm
Total Surface Area = 2*(22/7)r * (r+h)
= 2*(22/7)*14 * (14+21)
= 88*35
= 3080cm²
Hope it helps you.....
-- PLEASE MARK MY ANSWER AS BRAINLIEST !!!!!--