(B) The Total Surface Area $(TSA)$ of a hemisphere is given by the formula: $TSA = 3\pi r^{2}$.Given,$TSA = 462\,cm^{2}$.So,$3\pi r^{2} = 462$.Using $

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(B) The Total Surface Area $(TSA)$ of a hemisphere is given by the formula: $TSA = 3\pi r^{2}$.Given,$TSA = 462\,cm^{2}$.So,$3\pi r^{2} = 462$.Using $\pi = \frac{22}{7}$,we have $3 \times \frac{22}{7} \times r^{2} = 462$.$r^{2} = 462 \times \frac{7}{3 \times 22}$.$r^{2} = 462 \times \frac{7}{66}$.$r^{2} = 7 \times 7 = 49$.$r = \sqrt{49} = 7\,cm$.The diameter $d = 2r = 2 \times 7 = 14\,cm$.

Class 10 Mathematics Surface Areas and Volumes Mix Examples - Surface Areas and Volumes

Easy

The diameter of a hemisphere with $TSA$ $462\,cm^{2}$ is $\ldots \ldots \ldots \,cm$.

A
$7$
B
$14$
C
$21$
D
$28$

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Mix Examples - Surface Areas and Volumes

The base of a cone with radius $6 \, cm$ and height $8 \, cm$ is hemispherical. Find the curved surface area and the volume of the solid. $(\pi = 3.14)$

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The Curved Surface Area $(CSA)$ of a frustum of a cone is given by:

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Which of the following gives correctly the capacity of a cubical tank with length $2 \,m$, breadth $2 \,m$, and height $2 \,m$?

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The diameter of a hemisphere with $TSA$ $462\,cm^{2}$ is $\ldots \ldots \ldots \,cm$.

Similar Questions

The base of a cone with radius $6 \, cm$ and height $8 \, cm$ is hemispherical. Find the curved surface area and the volume of the solid. $(\pi = 3.14)$

The formula to find the total surface area of a $5$-rupee coin is $A = \ldots$

$A$ right circular cylinder of radius $r \, cm$ and height $h \, cm$ (where $h > 2r$) just encloses a sphere. What is the diameter of the sphere (in $cm$)?

The Curved Surface Area $(CSA)$ of a frustum of a cone is given by:

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