A medicine capsule is in the shape of a cylin | vedclass

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

Question

(B) It can be observed that:Radius $(r)$ of the cylindrical part $=$ Radius $(r)$ of the hemispherical part $= \frac{	ext{Diameter of the capsule}}{2

Vedclass · Accepted Answer

$220$

Vedclass · Answer

(B) It can be observed that:Radius $(r)$ of the cylindrical part $=$ Radius $(r)$ of the hemispherical part $= \frac{	ext{Diameter of the capsule}}{2} = \frac{5}{2} \, mm = 2.5 \, mm$.Length of the cylindrical part $(h) = 	ext{Length of the entire capsule} - 2 	imes r$$= 14 \, mm - 2 	imes (2.5 \, mm) = 14 \, mm - 5 \, mm = 9 \, mm$.Surface area of the capsule $= 2 	imes 	ext{CSA of hemispherical part} + 	ext{CSA of cylindrical part}$$= 2 	imes (2 \pi r^2) + 2 \pi r h$$= 4 \pi r^2 + 2 \pi r h$$= 2 \pi r (2r + h)$$= 2 	imes \frac{22}{7} 	imes 2.5 	imes (2 	imes 2.5 + 9)$$= 2 	imes \frac{22}{7} 	imes 2.5 	imes (5 + 9)$$= 2 	imes \frac{22}{7} 	imes 2.5 	imes 14$$= 2 	imes 22 	imes 2.5 	imes 2$$= 220 \, mm^2$.

$A$ medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see figure). The length of the entire capsule is $14 \, mm$ and the diameter of the capsule is $5 \, mm$. Find its surface area. $\left[ \text{Use } \pi = \frac{22}{7} \right]$ (in $mm^2$)

Similar Questions

Six wooden cubes of length $3 \, cm$ are arranged in a row touching each other face to face. Find the total surface area of the solid formed in this manner. (in $cm^2$)

$A$ toy is in the form of a cone of radius $3.5 \, cm$ mounted on a hemisphere of the same radius. The total height of the toy is $15.5 \, cm$. Find the total surface area of the toy (in $cm^2$). $\left[ \text{Use } \pi = \frac{22}{7} \right]$

The radii of the top and bottom of a bucket of slant height $45 \, cm$ are $28 \, cm$ and $7 \, cm$,respectively. The curved surface area of the bucket is (in $cm^2$)

Derive the formula for the curved surface area and total surface area of the frustum of a cone.

The formula for finding the total surface area of a cylinder having cone-shaped lids at both the ends will be $\ldots \ldots \ldots \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module