The volume of a cylinder is 448 pi , cm^3 and | vedclass

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

Question

(B) Given: Volume of cylinder $V = 448 \pi \, cm^3$ and height $h = 7 \, cm$.Let the radius be $r$.The formula for volume is $V = \pi r^2 h$.Substitut

Vedclass · Accepted Answer

$352 \, cm^2$ and $754.286 \, cm^2$

Vedclass · Answer

(B) Given: Volume of cylinder $V = 448 \pi \, cm^3$ and height $h = 7 \, cm$.Let the radius be $r$.The formula for volume is $V = \pi r^2 h$.Substituting the values: $448 \pi = \pi r^2 (7)$.$r^2 = \frac{448}{7} = 64$,so $r = 8 \, cm$.Lateral Surface Area $(LSA)$ $= 2 \pi r h = 2 	imes \frac{22}{7} 	imes 8 	imes 7 = 352 \, cm^2$.Total Surface Area $(TSA)$ $= 2 \pi r h + 2 \pi r^2 = 2 \pi r (h + r)$.$TSA$ $= 2 	imes \frac{22}{7} 	imes 8 	imes (7 + 8) = 2 	imes \frac{22}{7} 	imes 8 	imes 15 = \frac{5280}{7} \approx 754.286 \, cm^2$.

The volume of a cylinder is $448 \pi \, cm^3$ and its height is $7 \, cm$. What are its lateral surface area and total surface area?

Similar Questions

In the given figure,$PB$ is one-third of $AB$ and $BQ$ is one-third of $BC.$ If the area of $BPDQ$ is $20 \, cm^{2},$ then what is the area (in $cm^{2}$) of $ABCD$?

The wheel of a scooter has a diameter of $70\, cm$. How many revolutions per minute must the wheel make so that the speed of the scooter is kept at $66\, km/h$?

The length of a rectangular plot is $20 \ m$ more than its breadth. If the cost of fencing the plot at $₹ 26.50/m$ is $₹ 5300$,what is the length of the plot in metres?

The breadth of a rectangular plot is $75 \%$ of its length. If the perimeter of the plot is $1050 \, m,$ what is its area (in $, m^2$)?

$A$ wire,when bent in the form of a square,encloses a region of area $121 \, cm^2$. If the same wire is bent into the form of a circle,then the area of the circle is ........ $cm^2$. (Use $\pi = \frac{22}{7}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module