Question : 60 discs each of diameter 21 cm and thickness $\frac{1}{3}$ cm are stacked one above the other to form a right circular cylinder. What is its volume in m3 if $\pi=\frac{22}{7}$?
Option 1: 7.62 × 10–2
Option 2: 8.05 × 10–3
Option 3: 6.93 × 10–3
Option 4: 4.25 × 10–2
Correct Answer: 6.93 × 10–3
Solution : Given, The diameter of the disc = 21 cm ⇒ Radius of the disc, $r$ = $\frac{21}{2}$ cm Height of 60 discs if they stacked one above the other = 60 × $\frac{1}{3}$ = 20 cm So, the volume of the cylinder = $\pi r^2h$ = $\frac{22}{7} × \frac{21}{2} × \frac{21}{2}× 20$ = $6930$ cm3 As we know, 1 cm3 = 10–6 m So, the volume = 6930 cm3 = 6.93 × 10–3 m3 Hence, the correct answer is 6.93 × 10–3 m3.
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Question : The total surface area of a right circular cylinder is 1848 cm2. The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is: (Take $\pi=\frac{22}{7}$)
Option 1: 4312 cm3
Option 2: 3696 cm3
Option 3: 4002 cm3
Option 4: 4851 cm3
Question : The height of a cylinder is $\frac{2}{3}$rd of its diameter. Its volume is equal to the volume of a sphere whose radius is 4 cm. What is the curved surface area (in cm2) of the cylinder?
Option 1: $\frac{112}{3} \pi$
Option 2: $32 \pi$
Option 3: $\frac{128}{3} \pi$
Option 4: $40 \pi$
Question : What is the total surface area of a solid right circular cylinder of radius 7 cm and height 8 cm?$(\pi=\frac{22}{7})$
Option 1: 560 cm2
Option 2: 660 cm2
Option 3: 850 cm2
Option 4: 760 cm2
Question : The ratio of the radius of the base and the height of a solid right circular cylinder is 2 : 3. If its volume is 202.125 cm3, then its total surface area is: (Take $\pi=\frac{22}{7}$)
Option 1: 192.5 cm2
Option 2: 154 cm2
Option 3: 168 cm2
Option 4: 115.5 cm2
Question : The radius and height of a right circular cone are in the ratio 1 : 2.4. If its curved surface area is 2502.5 cm2, then what is its volume? (Take $\pi=\frac{22}{7}$)
Option 1: 8085 cm3
Option 2: 8820 cm3
Option 3: 11550 cm3
Option 4: 13475 cm3
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile