# If Two Solid-hemisphere S of Same Base Radius R Are Joined Together Along Their Bases , Then Curved Surface Area of this New Solid is - Mathematics

MCQ

If two solid-hemisphere s of same base radius r are joined together along their bases , then curved surface area  of this new solid is

#### Options

• $4 \pi r^2$

• $6 \pi r^2$

• $3 \pi r^2$

• $8 \pi r^2$

#### Solution

Base radius of the hemisphere = r
Since the two hemispheres are joined end to end, it becomes a complete sphere.
Curved surface area of the new solid = total surface area of the sphere.

$\text { Curved surface area of the new solid } = 4 \pi r^2$

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 48 | Page 91