Question : The volume of a hemisphere is $486 \pi\ \mathrm{cm}^3$. Find the radius.
Option 1: 7 cm
Option 2: 9 cm
Option 3: 4 cm
Option 4: 8 cm
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 9 cm
Solution : Let $r$ be the radius of the hemisphere. The volume of a hemisphere = $486 \pi\ \mathrm{cm}^3$ ⇒ $\frac{2}{3}\pi r^3=486\pi$ ⇒ $r^3=243×3$ $\therefore r = \sqrt{729}=9\ \mathrm{cm}$ Hence, the correct answer is 9 cm.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : A toy is in the shape of a cylinder surmounted by a hemisphere. The total height of the toy is 15 cm and the radius of the hemisphere is 6 cm. What is the volume of the toy?
Question : The area of a circle is increased by $22\;\mathrm{cm}$, and its radius is increased by $1\;\mathrm{cm}$. The original radius of the circle is:
Question : Find the volume of a sphere having a diameter of 6 mm, in terms of $\pi$.
Question : The radius of a hemisphere is 5 cm. Find the volume.
Question : The longest side of the obtuse triangle is 7 cm and the other two sides of the triangle are 4 cm and 5 cm. Find the area of the triangle.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile