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

What is the perimeter of an equilateral triangle whose area is $4 \sqrt{3} \text{ cm}^2$?

$A$ silver wire when bent in the form of a square,encloses an area of $484 \, cm^{2}$. Now if the same wire is bent to form a circle,the area enclosed by the circle would be? (in $cm^{2}$)

The length of a rectangular plot is $60\%$ more than its breadth. If the difference between the length and the breadth of that rectangle is $24\, cm$,what is the area of that rectangle? (in $cm^2$)

The largest cone is formed at the base of a cube of side measuring $7 \ cm$. Find the ratio of the volume of the cone to the volume of the cube.

The cost of fencing a circular plot at the rate of $Rs. 15$ per $m$ is $Rs. 3300$. What will be the cost of flooring the plot at the rate of $Rs. 100$ per square metre? (in $Rs.$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module