Question : A hemispherical bowl of internal radius 18 cm is full of liquid. This liquid is to be filled in cylindrical bottles each of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?
Option 1: 72
Option 2: 70
Option 3: 68
Option 4: 66
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: 72
Solution : Given: Internal radius of hemispherical bowl = 18 cm Internal radius of bottle = 3 cm The internal height of the bottle = 6 cm Total volume of liquid in hemisphere = $\frac{2}{3} × π ×18^3= 3888π$ cm 3 Let the number of bottles be $n$. According to the question: $3888π = n × π × (3)^2 × 6$ ⇒ $n=\frac{3888}{9\times6}$ ⇒ $n = 72$ Hence, the correct answer is 72.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : A conical vessel, whose internal radius is 20 cm and height is 27 cm, is full of water. If this water is poured into a cylindrical vessel with an internal radius of 15 cm, what will be the height to which the water rises in it?
Question : Steel is used to make a hemispherical bowl that is 0.37 cm thick. The bowl's inner radius is 6 cm. Find the bowl's outside curved surface area (take $\pi=\frac{22}{7}$).
Question : If the inner radius of a hemispherical bowl is 5 cm and its thickness is 0.25 cm, find the volume of the material required to make the bowl. (Use $\pi = \frac{22}{7}$) (Rounded up to two decimal places).
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 : Two equal circles of radius 18 cm intersect each other, such that each passes through the centre of the other. The length of the common chord is ______.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile