if the TSA of a cylinder is 450cm² and its base circumference is 50cm then the sum of height and radius is?
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Answer: r +h=9
Step-by-step explanation:
(Given)
Total surface area of a cylinder is 450 cm^2
As we know the formula for TSA of a cylinder is 2×π×r×(r+h)= 450 cm^2
And circumference of the base of cylinder is 2×π×r = 50 cm
Then we have to divide TSA with circumference of the cylinder.
(2×π×r×(r+h))/2×π×r = 450/50
Then we got
r+h = 9 (Ans)
(Extra information)
r+h=9 ----eq(1)
We can get the value of r from circumference of the base of cylinder 2×22/7×r = 50
Then r = (50×7)/44 = 175/44 = 3.9777 then approximately we take it r as 4
Then we got r= 4 then substitute r value in eq(1) to get height
r+h=9
4+h=9
h=5
Step-by-step explanation:
(Given)
Total surface area of a cylinder is 450 cm^2
As we know the formula for TSA of a cylinder is 2×π×r×(r+h)= 450 cm^2
And circumference of the base of cylinder is 2×π×r = 50 cm
Then we have to divide TSA with circumference of the cylinder.
(2×π×r×(r+h))/2×π×r = 450/50
Then we got
r+h = 9 (Ans)
(Extra information)
r+h=9 ----eq(1)
We can get the value of r from circumference of the base of cylinder 2×22/7×r = 50
Then r = (50×7)/44 = 175/44 = 3.9777 then approximately we take it r as 4
Then we got r= 4 then substitute r value in eq(1) to get height
r+h=9
4+h=9
h=5
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