Question

The total surface area of a cylinder is 6512 cm square and the circumference of its base is is 88 cm find its radius and volume

Answer 1

Answer:

14 cm and 36960 cu.cm

Step-by-step explanation:

Circumference of its base=88 cm

2πr=88

2×22/7×r=88

r=(88×7)/44

r=14 cm

Therefore the radius of the base=14 cm

TSA of the cylinder=6512 cm square

2πr(r+h)=6512

2×22/7×14(14+h)=6512

616/7 (14+h)=6512

14+h=(6512×7)/616

h=74-14

h=60

Therefore the height of the cylinder=60 cm

Volume of the cylinder=πr square h

=22/7 × 14×14×60

=22×2×14×60

=36960 cu.cm

Answer 2

Answer:

Step-by-step explanation:

TSA = 6512cm^2

Circumference of base =88 cm

2πr = 88

44/7×r = 88

r =88× 7/44= 14cm

TSA = 2πr(h+r)

6512= 88(14+h)

88(14+h)=6512

14+ h= 6512÷88

14+h = 74

h=74-14=60