Question : A cylindrical tube, open at both ends, is made of a metal sheet which is 0.5 cm thick. Its outer radius is 4 cm and its length is 2 m. How much metal (in cm$^3$) has been used in making the tube?
Option 1: $800 \pi$
Option 2: $450 \pi$
Option 3: $750 \pi$
Option 4: $550 \pi$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $750 \pi$
Solution : Given: Outer radius $(R)$ = 4 cm Thickness = 0.5 cm Internal radius $(r)$ = 4 – 0.5 = 3.5 cm Volume of material = $\pi(R^2 - r^2)h$ = $\pi \times (4^2 - 3.5^2)\times 200$ = $\pi \times 3.75\times 200$ = $750\pi$ cm$^3$ Hence, the correct answer is $750\pi$.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : A hollow sphere has an outer radius of 6 cm and inner radius of 3 cm. What is the volume of this hollow sphere?
Question : The area of the sector of a circle of radius 12 cm is $32 \pi \;\mathrm{cm}^2$. Find the length of the corresponding arc of the sector.
Question : A cylindrical roller made of iron is 1.2 m long, Its internal radius is 24 cm, and the thickness of the iron sheet used in making the roller is 15 cm. What is the mass (in kg) of the roller, if $1 ~cm^3$ of iron has 8g mass?
Question : From a solid cylindrical wooden block of height 18 cm and radius 7.5 cm, a conical cavity of the same height and radius is taken out. What is the total surface area (in cm2) of the remaining solid?
Question : The radius and height of a cylinder are in the ratio 4: 7 and its volume is 2816 cm3. Find its radius. (Take $\pi=\frac{22}{7}$ )
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile