A sphere having a diameter of \(30\) cm is cut into \(2\) segments. The altitude of the first segment is \(6\) cm. What is the ratio of the area of the second segment to that of the first?
A4:1
B3:1
C2:1
D3:2
Mathematics · Question Bank
Solid Geometry
12 of 42 questions match. Answer in your head first, then check the solution.
Given a sphere of diameter, d. What is the percentage increase in its diameter when the surface area increases by \(21\%\)?
A5%
B10%
C21%
D33%
How many times does the volume of a sphere increases if the radius is doubled?
A4 times
B2 times
C6 times
D8 times
A circular cone having an altitude of \(9\) m is divided into \(2\) segments having the same vertex. If the smaller altitude is \(6\) m, find the ratio of the volume of the small cone to the big cone.
A0.186
B0.296
C0.386
D0.486
The central angle of a spherical wedge is \(1\) radian. Find its volume if its radius is \(1\) unit.
A\(2/3\)
B\(1/2\)
C\(3/4\)
D\(2/5\)
The base radius of a right circular cone is 4 m while its slant height is 10 m. What is the lateral surface area?
A124.8 sq. m
B128.6 sq. m
C226.8 sq. m
D125.7 sq. m
The base radius of a right circular cone is 4 m while its slant height is 10 m. What is the lateral surface area?
A127.5 sq. m
B125.7 sq. m
C139.5 sq. m
D135.9 sq. m
A tank in an ice plant is to contain 3,000 liters of brine. It is constructed to be 4 m long and 1.5 m wide. Find the height of the tank.
A0.3
B0.4
C0.5
D0.6
Find the volume of a cube if its total surface area is 54 sq. cm.
A21 cu. cm
B30 cu. cm
C27 cu. cm
D54 cu. cm
The lateral area of a right circular cylinder is 77 sq. cm and its volume is 231 cu. cm. Find its radius.
A4 cm
B5 cm
C6 cm
D7 cm
Each side of the base of a square pyramid is 10 inches. The slant height of this pyramid measures 12 in. What is the area, in square inches, of the base of the pyramid?
A100
B144
C120
D240
The longest diagonal of a cube is 6 cm. The total area of the cube is
A\(32\sqrt{2}\) sq. cm
B72 sq. cm
C\(24\sqrt{2}\) sq. cm
D36 sq. cm