A solid cylinder has a base radius of 14, cm | vedclass

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

Question

(B) The total surface area of the remaining part consists of: $1$. The curved surface area of the original cylinder: $2\pi Rh = 2 	imes \frac{22}{7}

Vedclass · Accepted Answer

$3432$

Vedclass · Answer

(B) The total surface area of the remaining part consists of: $1$. The curved surface area of the original cylinder: $2\pi Rh = 2 	imes \frac{22}{7} 	imes 14 	imes 15 = 1320\, cm^2$. $2$. The area of the two bases of the original cylinder minus the area of the two circular cuts: $2 	imes (\pi R^2 - \pi r^2) = 2 	imes \pi 	imes (14^2 - 7^2) = 2 	imes \frac{22}{7} 	imes (196 - 49) = 2 	imes \frac{22}{7} 	imes 147 = 924\, cm^2$. $3$. The curved surface area of the two small cylinders cut out: $2 	imes (2\pi rh) = 2 	imes (2 	imes \frac{22}{7} 	imes 7 	imes 5) = 880\, cm^2$. $4$. The area of the inner circular base of the two small cylinders: $2 	imes (\pi r^2) = 2 	imes \frac{22}{7} 	imes 7^2 = 308\, cm^2$. Total surface area = $1320 + 924 + 880 + 308 = 3432\, cm^2$.

$A$ solid cylinder has a base radius of $14\, cm$ and a height of $15\, cm$. Identical small cylinders are cut from each base as shown in the figure. The height of each small cylinder is $5\, cm$ and the radius is $7\, cm$. What is the total surface area (in $cm^2$) of the remaining part?

Similar Questions

The portion of a ditch $48 \ m$ long, $16.5 \ m$ wide, and $4 \ m$ deep that can be filled with stones and earth available during the excavation of a tunnel, cylindrical in shape, of diameter $4 \ m$ and length $56 \ m$ is (Take $\pi = \frac{22}{7}$)

The radius of a cylinder is $10\, cm$ and its height is $4\, cm$. The value of $x$ (in $cm$) that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is:

The perpendicular height of a conical tent is $4 \frac{2}{3} \text{ m}$ and the diameter of its base is $6 \text{ m}$. If $11$ persons can sleep in this tent,find how many average cubic meters $(m^3)$ of air each person gets?

$A$ large cube is formed from the material obtained by melting three smaller cubes of sides $3\, cm$,$4\, cm$,and $5\, cm$ respectively. What is the ratio of the total surface areas of the smaller cubes to the large cube?

$3$ equal cubes are placed adjacently in a row. Find the ratio of the total surface area of the new cuboid to the sum of the surface areas of the three cubes.

Vedclass Test Series

Exam Paper Generator

Online Exam Module