A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is
a. 4πr²
b. 6πr²
c. 3πr²
d. 8πr²

Solution:

We know that

Curved surface area of hemisphere = 2πr²

If two solid hemispheres of same base radius r are joined together along their bases

Curved surface area of the new solid = 2 x 2πr² = 4πr²

Therefore, the curved surface area of the new solid is 4πr².

✦ Try This: The surface area of a solid hemisphere is

We know that

area of a circle = πr²

As the hemisphere is a solid, the base also will be included

So the surface area of a solid hemisphere = πr² + 2πr² = 3πr²

Therefore, the surface area of a solid hemisphere is 3πr².

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.1 Problem 15

If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is a. 4πr², b. 6πr², c. 3πr², d. 8πr²

Summary:

If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is 4πr²

☛ Related Questions:

Math worksheets and
visual curriculum