Question
A cone has a height of 12 cm and a base radius of 5 cm.
A sphere with the same volume as the cone is constructed. What is the radius of the sphere?Solution
Volume of the cone = (1/3) * π * r² * h Where r = 5 cm and h = 12 cm: Volume of the cone = (1/3) * π * (5²) * 12 = (1/3) * π * 25 * 12 = 100π cm³. For the sphere, Volume = (4/3) * π * R³. Setting the volumes equal: (4/3) * π * R³ = 100π Cancel π: (4/3) * R³ = 100 R³ = 75 R = ∛ 75 ≈ 4.22 cm. Correct option: a) 4.2 cm
Select the combination of letters that when sequentially placed in the blanks of the given letter series will complete the series.
_ m m n _ o p ...
- Select the combination of letters that when placed sequentially in the blanks of the given letter series will complete the series.
I _ P _ O V _ D ... Find the next term in the series: CNP, FPR, IRT, ?
Select the combination of numbers that when placed sequentially in the blanks of the given series will complete the series.
k l _ n _ p q _ s _ l...
A ______________ is an element of hardware for centralizing network traffic coming from multiple hosts and to propagate the signal.
Study the letter series and answer the question that follows.
K I O X J E T R U L E B A C K J M N
How many such vowels are there, each of ...
If all the words are arranged according to the alphabetical series from right to left, then which word is third from the left end?
After going 80 m from his home towards east, a person turns left and goes 20 m, then turns right and moves 100 m, then turns left and goes 60 m, then tu...
How many such pairs of letters are there in the word “RESERVATION”, each of which has as many letters between them in the word (in both forward and ...
Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
L_UA_Z_N_AP_L_U_PZ
Relevant for Exams:
