Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma maths class 12 chapter 12Derivative as a Rate Measurer exercise multiple choise question 3

Need solution for RD Sharma maths class 12 chapter 12Derivative as a Rate Measurer exercise multiple choise question 3

Answers (1)

Answer:

(c)

Hint:

Here, we use the formula and concept of volume of sphere

Given:

\frac{d r}{d t}=0.1 \mathrm{~cm} / \mathrm{sec} \text { and } r=200 \mathrm{~cm}

Solution:

The surface area of a sphere of radius r is defined by

\begin{aligned} &A(r)=4 \pi r^{2} \quad \ldots \ldots . . \text { (i) }\\ &\rightarrow \text { Differentiating (i) with respect to } \mathrm{t}\\ &\frac{d A}{d t}=8 \pi r \cdot \frac{d r}{d t}=8 \pi \times 200 \times 0.1=160 \pi \mathrm{cm}^{2} / \mathrm{sec} \end{aligned}

Posted by

Gurleen Kaur

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question