The height of a cylinder and its volume are 15cm and 2310cm
3
, respectively. Find the total surface area.
- A968cm
2 - B660cm
2 - C452cm
2 - D248cm
2
Solution & Step-by-step Explanation
The formula for the volume of a cylinder is:
V=πr
2
h
Given V=2310cm
3
and h=15cm:
2310=
7
22
×r
2
×15
2310=
7
330
×r
2
r
2
=
330
2310×7
=7×7=49
r=7cm
The formula for the total surface area (TSA) of a cylinder is:
TSA=2πr(h+r)
TSA=2×
7
22
×7×(15+7)
TSA=44×22=968cm
2
V=πr
2
h
Given V=2310cm
3
and h=15cm:
2310=
7
22
×r
2
×15
2310=
7
330
×r
2
r
2
=
330
2310×7
=7×7=49
r=7cm
The formula for the total surface area (TSA) of a cylinder is:
TSA=2πr(h+r)
TSA=2×
7
22
×7×(15+7)
TSA=44×22=968cm
2