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

The total surface area of a rectangular block is $8788 \text{ cm}^2$. If the length,breadth,and height are in the ratio $4:3:2$,find the length (in $\text{cm}$).

The area of the square inscribed in a circle of radius $8\, cm$ is......$cm^2$

The length of a rectangle is $2 \, cm$ more than its breadth. The perimeter is $48 \, cm$. The area of the rectangle (in $cm^2$) is?

The number of marble slabs of size $20\, cm \times 30\, cm$ required to pave the floor of a square room of side $3\, m$ is:

If the diameter of each circle is $14 \, cm$ and $DC = CE$,find the area of $\Delta BDE$ in $cm^2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module