Answer:
1 : 6
Explanation:
From the question given above, the following data were obtained:
Radius (r) = 10 cm
Height (h) = 15 cm
Ratio of TSA and CSA =?
Next, we shall determine the total surface area (TSA) of the cylinder. This can be obtained as follow:
Radius (r) = 10 cm
Height (h) = 15 cm
Pi (π) = 3.14
Total surface area (TSA) of the cylinder =?
TSA = 2πr(r + H)
TSA = 2 × 3.14 × (10 + 15)
TSA = 6.28 × 25
TSA = 157 cm²
Next, we shall determine the curve surface area (CSA) of the cylinder. This can be obtained as follow:
Radius (r) = 10 cm
Height (h) = 15 cm
Pi (π) = 3.14
Curve surface area (CSA) of cylinder =?
CSA = 2πrh
CSA = 2 × 3.14 × 10 × 15
CSA = 942 cm²
Finally, we shall determine the ratio of the total surface area (TSA) and curve surface area (CSA) of the cylinder. This can be obtained as follow:
TSA = 157 cm²
CSA = 942 cm²
Ratio of TSA and CSA =?
TSA : CSA = 157 / 942
TSA : CSA = 1 / 6
TSA : CSA = 1 : 6
Thus, the ratio of the total surface area (TSA) and curve surface area (CSA) of the cylinder is 1 : 6