Question : The sum of the radius of the base and the height of a cylinder is 42 m. If the total surface area of the cylinder is 6336 m2, find the curved surface area of the cylinder correct to two places of decimals (use $\pi=\frac{22}{7}$).
Option 1: 2157.43 m2
Option 2: 2571.43 m2
Option 3: 2715.43 m2
Option 4: 2517.43 m2
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 2715.43 m 2
Solution : Let the radius and height of the cylinder be $r$ and $h$ m. Given, $r+h=42$ m The total surface area of the cylinder = 6336 m 2 $⇒2\pi r(r+h)=6336$ $⇒2\times \frac{22}{7}\times r\times 42 = 6336$ $⇒r = 24$ m So, $h=42-24=18$ m Curved surface area of cylinder = $2\pi rh=2\times \frac{22}{7}\times 24\times 18= 2715.43$ m 2 Hence, the correct answer is 2715.43 m 2 .
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : The total surface area of a cylinder whose radius is 6 cm and height is 8 cm is: (Use $\pi=\frac{22}{7}$)
Question : The total surface area of a right circular cylinder with a radius of the base 7 cm and height 20 cm, is:
Question : The radius of the base and curved surface area of a right cylinder are $r$ units and $4\pi rh$ square units respectively. The height of the cylinder is:
Question : The radius and slant height of a cone are in the ratio 5 : 7. If its curved surface area is 1347.5 cm2, find its radius. $\mathrm{(Use ~\pi =\frac{22}{7})}$
Question : Find the surface area of a sphere whose radius is 3.5 cm. Use $(\left.\pi=\frac{22}{7}\right)$.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile