The curved surface area of a hemisphere is 30 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The curved surface area $(CSA)$ of a hemisphere is given by the formula $CSA = 2\pi r^{2}$.Given,$2\pi r^{2} = 306 \, cm^{2}$.The total surface ar

Vedclass · Accepted Answer

$459$

Vedclass · Answer

(A) The curved surface area $(CSA)$ of a hemisphere is given by the formula $CSA = 2\pi r^{2}$.Given,$2\pi r^{2} = 306 \, cm^{2}$.The total surface area $(TSA)$ of a hemisphere is given by the formula $TSA = 3\pi r^{2}$.We can express $TSA$ in terms of $CSA$ as: $TSA = \frac{3}{2} 	imes (2\pi r^{2})$.Substituting the given value: $TSA = \frac{3}{2} 	imes 306$.$TSA = 3 	imes 153 = 459 \, cm^{2}$.Therefore,the total surface area is $459 \, cm^{2}$.

The curved surface area of a hemisphere is $306 \, cm^{2}$. Then its total surface area is $\dots \dots \dots cm^{2}$.

Similar Questions

The surface area and volume of a cube with an edge length of $x \ cm$ are numerically equal. Find the value of $x$.

The curved surface area of a cylinder is $3960\, cm^{2}$. If its radius is $21\, cm$,find its height in $cm$.

The radius of the base of a cone is $10 \, cm$ and its slant height is $26 \, cm$. Find the volume of the cone. $(\pi = 3.14)$ (in $cm^3$)

Find the volume of a sphere whose surface area is $1256 \, cm^{2}$. (Use $\pi = 3.14$)

The radius and height of a cylinder are $10 \, cm$ and $20 \, cm$ respectively. Find the volume of the cylinder. $(\pi = 3.14)$ (in $cm^3$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module