find the volume and the total surface area of solid cylinder whose radius is 7 cm and its height is 30 cm
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Solution!!
The height and the radius of the base of a cylinder is given in the question. We have to find the volume and the total surface area (TSA) of te cylinder.
Radius = 7 cm
Height = 30 cm
We have to put these values in the volume formula and the total surface area formula of the cylinder to get the respective values.
Volume = πr²h
Here, r is the radius of the base of cylinder and h is the height of the cylinder.
Volume = (22/7) × (7 cm)² × 30 cm
Volume = (22/7) × 49 cm ² × 30 cm
Volume = 22 × 7 cm² × 30
Volume = 4620 cm³
(Note:- Volume is always in cubic units.)
TSA = 2πr(h + r)
TSA = 2 × (22/7) × 7 cm (30 cm + 7 cm)
TSA = 2 × (22/7) × 7 cm (37 cm)
TSA = 2 × (22/7) × 259 cm²
TSA = 2 × 22 × 37 cm²
TSA = 1628 cm²
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