FC-CBSE-10-M-C12

When a cone is cut by a plane parallel to its base, the part that contains the base is called a ______ of the cone.

• Frustum

• Vertex

• Base

• Apex

The ratio of the volumes of two spheres is @@8:27@@. The ratio of their surface areas is ______.

• @@2:3@@

• @@3:4@@

• @@4:9@@

• @@1:2@@

• @@l = rac{h}{r}@@

• @@l = r + h@@

• @@l = rac{1}{2}(r + h)@@

• @@l = ext{sqrt}(r^2 + h^2)@@

• @@2rac{1}{2} ext{π}r^2@@

• @@ ext{π}r^2@@

• @@3 ext{π}r^2@@

• @@ ext{π}r^3@@

The Curved surface area of hollow cylinder as shown in the figure is ......

• @@2rac{1}{2} imesrac{1}{2}@@

• @@2rac{1}{2} imesrac{1}{2}h@@

• @@2rac{1}{2}(R+r)h@@

• @@rac{1}{2}(R+r)h@@

If the radius of a sphere is doubled, its volume becomes @@4@@ times the original volume.

• True

• False

• 3 times the original volume

• 5 times the original volume

The volume of a hemisphere of radius r is @@\frac{2}{3}\pi r^3@@

• True

• False

• @@\frac{4}{3}\pi r^3@@

• @@\frac{3}{4}\pi r^3@@

The curved surface area of a cylinder is the same as that of a rectangle with length @@2\pi r@@ and height @@h@@. True or False?

• True

• False

• Only if the radius is 1

• Only if the height is equal to the radius

The formula for the lateral surface area of a cuboid is @@2(lb+bh+hl)@@. True or False?

• True

• False

• @@2h(l+b)@@

• @@l imes b imes h@@

The volume of a sphere of radius r is ______.

• @@rac{4}{3} ext{π}r^3@@

• @@rac{3}{4} ext{π}r^2@@

• @@2 ext{π}r^3@@

• @@rac{1}{3} ext{π}r^3@@