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The height and curved surface area of a right circular cylinder are 7 cm and 70 π cm2.
Its total surface area is:
140 $$\pi cm^{2}$$
150 $$\pi cm^{2}$$
180 $$\pi cm^{2}$$
120 $$\pi cm^{2}$$
Let’s break it down:
- The curved surface area (CSA) of a right circular cylinder is given by:
CSA = 2prh
You said CSA = 70p and height h = 7 cm.
- So, plugging in the numbers:
2pr × 7 = 70p
14pr = 70p
r = 70p / 14p = 5
- So, radius is 5 cm.
- Now, total surface area (TSA) = CSA + 2(Base area)
TSA = 2prh + 2pr²
TSA = 70p + 2p × (5)²
TSA = 70p + 2p × 25
TSA = 70p + 50p
TSA = 120p cm²
- Let’s check your options:
- 1: 140p cm²
- 2: 150p cm²
- 3: 180p cm²
- 4: 120p cm²
The correct answer is option 4: 120p cm².
By: santosh ProfileResourcesReport error
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