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If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find: (1) radius of its base (ii) its volume. (Use π = 3.14)

Posted by Neshok Ls 5 years ago

CBSE > Class 09 > Mathematics

3 answers

Simran Nehiniwal 5 years ago

(2) let radius of the base = r Curved surface area = 2πrh 110 m² = 2 × 22/7 × r × 10 110 × 7 / 440 = r 77/44 = r 7/4 = r 1.75 = r

Simran Nehiniwal 5 years ago

(1) It's costs Rs 2200 to paint the inner cirved surface of a cylindrical vessel 10 m deep . The cost of painting is at the rate of Rs 20 per m² = Inner cirved surface area = Total costs / rate = 2200/20 = 110 m²

Gaurav Seth 5 years ago

Given,
Lateral surface area = 94.2cm²
Height (h) = 5cm
Let the radius of the base be ' r '

We know,
Lateral surface area = 2πrh
94.2 = 2 × 3.14 × r × 5
94.2/ 2×3.14×5 = r
r = 3
Thus,
The radius of base is 3cm

Also,
Volume of the cylinder = πr²h
= 3.14 × 3² × 5 cm
= 3.14 × 9 × 5cm
= 141.3cm³

Thus,
The radius of the base is 3cm and the volume is 141.3cm³

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