The sum of the radius and height of a cylinder is 42 cm. Its total surface area is 3696 cm 2. What is the volume of cylinder ?
Total surface area of cylinder
=> $$2 \pi r h + 2 \pi r^2 = 3696$$
=> $$2 \pi r (r + h) = 3696$$
$$\because (r + h) = 42$$ [Given]
=> $$2 \times \frac{22}{7} \times r \times 42 = 3696$$
=> $$44 \times 6 \times r = 3696$$
=> $$r = \frac{3696}{44 \times 6} = 14$$ cm
=> $$h = 42 - 14 = 28$$ cm
$$\therefore$$ Volume of cylinder = $$\pi r^2 h$$
= $$\frac{22}{7} \times 14 \times 14 \times 28$$
= $$17248 cm^3$$
Create a FREE account and get:
Detailed syllabus & Topic-wise Weightage
By proceeding you agree to create your account
Free CAT Syllabus PDF will be sent to your email address soon !!!
