A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of the base is 8 cm. Determine the volume of the toy. If the cube circumscribes the toy, then find the difference of the volumes of the cube and the toy. Also, find the total surface area of the toy.

Asked by Last Modified  

3 Answers

Learn Mathematics +1

Follow 2
Answer

Please enter your answer

Tutor

surface area=171.3cm² difference in volume=311cm³
Comments

Science Teacher

I have submitted the answer in the following attachment
Comments

Math magician

height of cone = 4cm ,radius of cone = 8/2 =4cm .. now volume of toy = volume of cone + volume of hemis phere .so total volume = 2/3 π r3 + 1/3 π r2 h = π r2 ( 2/3 r + 1/3 h ) = 22/7 × 4×4 (2/3 × 4 +1/3×4) = 22/7 × 16 (8/3 +4/3) = 22/7× 16...
read more
height of cone = 4cm ,radius of cone = 8/2 =4cm .. now volume of toy = volume of cone + volume of hemis phere .so total volume = 2/3π r3+ 1/3π r2h =π r2 ( 2/3 r + 1/3 h ) = 22/7 × 4×4 (2/3× 4 +1/3×4) = 22/7× 16 (8/3 +4/3) = 22/7× 16×4 = 22/7×64 cube cm . Curbed surface area of cone = π r l =π 4 √(h2+r2) =π×4√(16+16) = π4√ 32 =22/7× 16√2 surface area of toy =2π r2 +πrl . = 22/7× 2× 16 + 22/7×16√2 =22/7 ( 32 + 16√2) = 3.14× 54.56= 171.31 cm square' answer Difference of volume of cube and toy = 83 - 22/7× 64 = 512 - 201 = 311 cube cm answer read less
Comments

View 1 more Answers

Related Questions

What is the difference between algebra, linear algebra, and abstract algebra?
Linear Algebra is the study of vector spaces and linear mappings between those spaces. Abstract Algebra deals with various abstract structures such as groups, rings and fields.
Nayan
0 0
6
Define pythagoras theorem?
In a right angled triangle the square of the long side is equal to the sum of the squares of the other two sides. It is stated in this formula: a2 + b2 = c2
Bijoy
0 0
6
What should I do to score well in class 10 boards?
Focus only on ur strength . Start reading from last chapter to First chapter and study regularly .
Shreya

How to learn math online?

Via skype you can teach everything online
Robin

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons





FACTORISATION
FACTORISE THE FOLLOWING: TYPE 1:- a2-b2 =(a+b)(a-b) Ex:- 1) x2-64 =x2-82 =(x+8)(x-8) TYPE 2:- splitting the middle term Method:- split the middle term in two terms so that- 1)Their...

Recommended Articles

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...

Read full article >

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you