1. A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of \pi.

Answers (1)

The volume of the solid is given by :

The volume of solid  =   Volume of cone   +   Volume of a hemisphere

The volume of cone    :

                                         =\ \frac{1}{3} \pi r^2h

or                                     =\ \frac{1}{3} \pi \times 1^2\times 1

or                                     =\ \frac{\pi}{3}\ cm^3

And the volume of the hemisphere :

                                            =\ \frac{2}{3}\pi r^3

or                                        =\ \frac{2}{3}\pi \times 1^3

or                                        =\ \frac{2\pi}{3}\ cm^3

Hence the volume of solid is   :        

                                           =\ \frac{\pi}{3}\ +\ \frac{2\pi}{3}\ =\ \pi\ cm^3

Preparation Products

JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Knockout JEE Main April 2021 (Subscription)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout NEET May 2022

An exhaustive E-learning program for the complete preparation of NEET..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions