Question
A hollow spherical shell is made of a metal of density 36 g/cm3. Its internal and external radius are 9 cm and 11 cm, respectively. What is the weight (in kg) of the shell?
(Take π = 22/7)
The correct answer is
90.816
Step 1
\(V=\frac43\frac{22}7(11^3-9^3)=\frac{7568}3\text{ cm}^3\)
Step 2
\(M=\frac{36V}{1000}=90.816\text{ kg}\)
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Important Questions from Mensuration
- The volume of a wall that is 5 times as high as it is broad and 8 times as long as it is high is 12.8 cubic meters. Find the breadth of the wall.
- If the radius of a sphere is increased by 2 cm, then its surface area increases by 704 cm\(^2\). Using \(\pi = \frac{22}{7}\), find the radius of the sphere after the increase.
- What is the perimeter of an equilateral triangle with side 13 cm?
- The perimeter of a square is 76 m. Its area (in $m^2$) is:
- A cylindrical rod has an outer curved surface area of 1800 cm$^2$. If the length of the rod is 52 cm, then the outer radius (in cm) of the rod, correct to two places of decimal, is:
Take $\pi = \frac{22}{7}$
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